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</div> <div class="control"> <button class="button is-small is-link">Go</button> </div> </div> </form> </div> </div> <ol class="breathe-horizontal" start="1"> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2409.19903">arXiv:2409.19903</a> <span> [<a href="https://arxiv.org/pdf/2409.19903">pdf</a>, <a href="https://arxiv.org/format/2409.19903">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Solar and Stellar Astrophysics">astro-ph.SR</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Computational Physics">physics.comp-ph</span> </div> </div> <p class="title is-5 mathjax"> Knot-detection algorithm to measure viscosity in three-dimensional MHD plasmas </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R">Ratul Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Mukherjee%2C+R">Rupak Mukherjee</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2409.19903v1-abstract-short" style="display: inline;"> This project explores the mathematical study of knots and links in topology, focusing on differentiating between the two-component Unlink and the Hopf Link using a computational tool named LINKAGE. LINKAGE employs the linking number, calculated through Barycentric Equations, Matrix Algebra, and basic topological principles, to quantify the degree of linking between two closed curves in three-dimen… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2409.19903v1-abstract-full').style.display = 'inline'; document.getElementById('2409.19903v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2409.19903v1-abstract-full" style="display: none;"> This project explores the mathematical study of knots and links in topology, focusing on differentiating between the two-component Unlink and the Hopf Link using a computational tool named LINKAGE. LINKAGE employs the linking number, calculated through Barycentric Equations, Matrix Algebra, and basic topological principles, to quantify the degree of linking between two closed curves in three-dimensional space. This approach not only distinguishes between different knot structures but also has applications in understanding complex systems such as magnetic field lines in plasma physics. Additionally, this project includes an example where multiple interlinked loops were analyzed over different time stamps using the LINKAGE algorithm. By observing how these links break and evolve, the algorithm demonstrates its ability to track changes in the topological properties of the system. This dynamic analysis shows the versatility of the tool in studying evolving systems, where the topology of the components can change, providing valuable information about the underlying physical processes driving these changes. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2409.19903v1-abstract-full').style.display = 'none'; document.getElementById('2409.19903v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 29 September, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2024. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2408.00578">arXiv:2408.00578</a> <span> [<a href="https://arxiv.org/pdf/2408.00578">pdf</a>, <a href="https://arxiv.org/format/2408.00578">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Soft Condensed Matter">cond-mat.soft</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Biological Physics">physics.bio-ph</span> </div> </div> <p class="title is-5 mathjax"> Propagation of Enzyme-driven Active Fluctuations in Crowded Milieu </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R">Rik Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Maiti%2C+A">Arnab Maiti</a>, <a href="/search/physics?searchtype=author&query=Paul%2C+D">Diptangshu Paul</a>, <a href="/search/physics?searchtype=author&query=Borthakur%2C+R">Rajnandan Borthakur</a>, <a href="/search/physics?searchtype=author&query=Jayaprakash%2C+K+R">K. R. Jayaprakash</a>, <a href="/search/physics?searchtype=author&query=Ghosh%2C+U">Uddipta Ghosh</a>, <a href="/search/physics?searchtype=author&query=Dey%2C+K+K">Krishna Kanti Dey</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2408.00578v1-abstract-short" style="display: inline;"> We investigated the energy transfer from active enzymes to their surroundings in crowded environments by measuring the diffusion of passive microscopic tracers in active solutions of ficoll and glycerol. Despite observing lower rates of substrate turnover and relatively smaller enhancement of passive tracer diffusion in artificial crowded media compared to those in aqueous solutions, we found a si… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.00578v1-abstract-full').style.display = 'inline'; document.getElementById('2408.00578v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2408.00578v1-abstract-full" style="display: none;"> We investigated the energy transfer from active enzymes to their surroundings in crowded environments by measuring the diffusion of passive microscopic tracers in active solutions of ficoll and glycerol. Despite observing lower rates of substrate turnover and relatively smaller enhancement of passive tracer diffusion in artificial crowded media compared to those in aqueous solutions, we found a significantly higher relative diffusion enhancement in crowded environments in the presence of enzymatic activity. Our experimental observations, coupled with supporting analytical estimations, underscored the critical role of the intervening media in facilitating mechanical energy distribution around active enzymes. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.00578v1-abstract-full').style.display = 'none'; document.getElementById('2408.00578v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 1 August, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2024. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2404.06385">arXiv:2404.06385</a> <span> [<a href="https://arxiv.org/pdf/2404.06385">pdf</a>, <a href="https://arxiv.org/format/2404.06385">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Chemical Physics">physics.chem-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Quantum Physics">quant-ph</span> </div> </div> <p class="title is-5 mathjax"> Toward Reliable Dipole Moments without Single Excitations: The Role of Orbital Rotations and Dynamical Correlation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R">Rahul Chakraborty</a>, <a href="/search/physics?searchtype=author&query=de+Moraes%2C+M+M+F">Matheus Morato F. de Moraes</a>, <a href="/search/physics?searchtype=author&query=Boguslawski%2C+K">Katharina Boguslawski</a>, <a href="/search/physics?searchtype=author&query=Nowak%2C+A">Artur Nowak</a>, <a href="/search/physics?searchtype=author&query=Swierczynski%2C+J">Julian Swierczynski</a>, <a href="/search/physics?searchtype=author&query=Tecmer%2C+P">Pawel Tecmer</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2404.06385v1-abstract-short" style="display: inline;"> The dipole moment is a crucial molecular property linked to a molecular system's bond polarity and overall electronic structure. To that end, the electronic dipole moment, which results from the electron density of a system, is often used to assess the accuracy and reliability of new electronic structure methods. This work analyses electronic dipole moments computed with the pair coupled cluster d… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2404.06385v1-abstract-full').style.display = 'inline'; document.getElementById('2404.06385v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2404.06385v1-abstract-full" style="display: none;"> The dipole moment is a crucial molecular property linked to a molecular system's bond polarity and overall electronic structure. To that end, the electronic dipole moment, which results from the electron density of a system, is often used to assess the accuracy and reliability of new electronic structure methods. This work analyses electronic dipole moments computed with the pair coupled cluster doubles (pCCD) ansatz and its linearized coupled cluster (pCCD-LCC) corrections using the canonical Hartree--Fock and pCCD-optimized (localized) orbital bases. The accuracy of pCCD-based dipole moments is assessed against experimental and CCSD(T) reference values using relaxed and unrelaxed density matrices and different basis set sizes. Our test set comprises molecules of various bonding patterns and electronic structures, exposing pCCD-based methods to a wide range of electron correlation effects. Additionally, we investigate the performance of pCCD-in-DFT dipole moments of some model complexes. Finally, our work indicates the importance of orbital relaxation in the pCCD model and shows the limitations of the linearized couple cluster corrections in predicting electronic dipole moments of multiple-bonded systems. Most importantly, pCCD with a linearized CCD correction can reproduce the dipole moment surfaces in singly-bonded molecules, which are comparable to the multi-reference ones. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2404.06385v1-abstract-full').style.display = 'none'; document.getElementById('2404.06385v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 April, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2024. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2310.18367">arXiv:2310.18367</a> <span> [<a href="https://arxiv.org/pdf/2310.18367">pdf</a>, <a href="https://arxiv.org/format/2310.18367">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Chemical Physics">physics.chem-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Artificial Intelligence">cs.AI</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Computer Vision and Pattern Recognition">cs.CV</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Machine Learning">cs.LG</span> </div> </div> <p class="title is-5 mathjax"> Unsupervised Learning of Molecular Embeddings for Enhanced Clustering and Emergent Properties for Chemical Compounds </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Gill%2C+J">Jaiveer Gill</a>, <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R">Ratul Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Gubba%2C+R">Reetham Gubba</a>, <a href="/search/physics?searchtype=author&query=Liu%2C+A">Amy Liu</a>, <a href="/search/physics?searchtype=author&query=Jain%2C+S">Shrey Jain</a>, <a href="/search/physics?searchtype=author&query=Iyer%2C+C">Chirag Iyer</a>, <a href="/search/physics?searchtype=author&query=Khwaja%2C+O">Obaid Khwaja</a>, <a href="/search/physics?searchtype=author&query=Kumar%2C+S">Saurav Kumar</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2310.18367v1-abstract-short" style="display: inline;"> The detailed analysis of molecular structures and properties holds great potential for drug development discovery through machine learning. Developing an emergent property in the model to understand molecules would broaden the horizons for development with a new computational tool. We introduce various methods to detect and cluster chemical compounds based on their SMILES data. Our first method, a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2310.18367v1-abstract-full').style.display = 'inline'; document.getElementById('2310.18367v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2310.18367v1-abstract-full" style="display: none;"> The detailed analysis of molecular structures and properties holds great potential for drug development discovery through machine learning. Developing an emergent property in the model to understand molecules would broaden the horizons for development with a new computational tool. We introduce various methods to detect and cluster chemical compounds based on their SMILES data. Our first method, analyzing the graphical structures of chemical compounds using embedding data, employs vector search to meet our threshold value. The results yielded pronounced, concentrated clusters, and the method produced favorable results in querying and understanding the compounds. We also used natural language description embeddings stored in a vector database with GPT3.5, which outperforms the base model. Thus, we introduce a similarity search and clustering algorithm to aid in searching for and interacting with molecules, enhancing efficiency in chemical exploration and enabling future development of emergent properties in molecular property prediction models. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2310.18367v1-abstract-full').style.display = 'none'; document.getElementById('2310.18367v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 October, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2023. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2305.19723">arXiv:2305.19723</a> <span> [<a href="https://arxiv.org/pdf/2305.19723">pdf</a>, <a href="https://arxiv.org/ps/2305.19723">ps</a>, <a href="https://arxiv.org/format/2305.19723">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Chemical Physics">physics.chem-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1039/D3CP02502K">10.1039/D3CP02502K <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Static Embedding with Pair Coupled Cluster Doubles Based Methods </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R">Rahul Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Boguslawski%2C+K">Katharina Boguslawski</a>, <a href="/search/physics?searchtype=author&query=Tecmer%2C+P">Pawe艂 Tecmer</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2305.19723v1-abstract-short" style="display: inline;"> Quantum embedding methods have recently developed significantly to model large molecular structures. This work proposes a novel wave function theory in density functional theory (WTF-in-DFT) embedding scheme based on pair-coupled cluster doubles (pCCD)-type methods. While pCCD can reliably describe strongly-correlated systems with mean-field-like computational cost, the large extent of dynamic cor… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2305.19723v1-abstract-full').style.display = 'inline'; document.getElementById('2305.19723v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2305.19723v1-abstract-full" style="display: none;"> Quantum embedding methods have recently developed significantly to model large molecular structures. This work proposes a novel wave function theory in density functional theory (WTF-in-DFT) embedding scheme based on pair-coupled cluster doubles (pCCD)-type methods. While pCCD can reliably describe strongly-correlated systems with mean-field-like computational cost, the large extent of dynamic correlation can be accounted for by (linearized) coupled-cluster corrections on top of the pCCD wave function. Here we focus on the linearized coupled-cluster singles and doubles (LCCSD) ansatz for electronic ground states and its extension to excited states within the equation of motion (EOM) formalism. We test our EOM-pCCD-LCCSD-in-DFT approach for the vertical excitation energies of the hydrogen-bonded water--ammonia complex and uranyl tetrahalides (UO$_2$X$_4^{2-}$, X=F, Cl, Br). Furthermore, we assess the quality of the embedding potential using an orbital entanglement and correlation analysis. The approximate models successfully capture changes in the excitation energies going from bare fragments to supramolecular structures and represent a promising computation model for excited states in large molecular systems. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2305.19723v1-abstract-full').style.display = 'none'; document.getElementById('2305.19723v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 31 May, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2023. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2104.03240">arXiv:2104.03240</a> <span> [<a href="https://arxiv.org/pdf/2104.03240">pdf</a>, <a href="https://arxiv.org/format/2104.03240">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Accelerator Physics">physics.acc-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevAccelBeams.24.044002">10.1103/PhysRevAccelBeams.24.044002 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Albahri%2C+T">T. Albahri</a>, <a href="/search/physics?searchtype=author&query=Anastasi%2C+A">A. Anastasi</a>, <a href="/search/physics?searchtype=author&query=Badgley%2C+K">K. Badgley</a>, <a href="/search/physics?searchtype=author&query=Bae%C3%9Fler%2C+S">S. Bae脽ler</a>, <a href="/search/physics?searchtype=author&query=Bailey%2C+I">I. Bailey</a>, <a href="/search/physics?searchtype=author&query=Baranov%2C+V+A">V. A. Baranov</a>, <a href="/search/physics?searchtype=author&query=Barlas-Yucel%2C+E">E. Barlas-Yucel</a>, <a href="/search/physics?searchtype=author&query=Barrett%2C+T">T. Barrett</a>, <a href="/search/physics?searchtype=author&query=Bedeschi%2C+F">F. Bedeschi</a>, <a href="/search/physics?searchtype=author&query=Berz%2C+M">M. Berz</a>, <a href="/search/physics?searchtype=author&query=Bhattacharya%2C+M">M. Bhattacharya</a>, <a href="/search/physics?searchtype=author&query=Binney%2C+H+P">H. P. Binney</a>, <a href="/search/physics?searchtype=author&query=Bloom%2C+P">P. Bloom</a>, <a href="/search/physics?searchtype=author&query=Bono%2C+J">J. Bono</a>, <a href="/search/physics?searchtype=author&query=Bottalico%2C+E">E. Bottalico</a>, <a href="/search/physics?searchtype=author&query=Bowcock%2C+T">T. Bowcock</a>, <a href="/search/physics?searchtype=author&query=Cantatore%2C+G">G. Cantatore</a>, <a href="/search/physics?searchtype=author&query=Carey%2C+R+M">R. M. Carey</a>, <a href="/search/physics?searchtype=author&query=Casey%2C+B+C+K">B. C. K. Casey</a>, <a href="/search/physics?searchtype=author&query=Cauz%2C+D">D. Cauz</a>, <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R">R. Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Chang%2C+S+P">S. P. Chang</a>, <a href="/search/physics?searchtype=author&query=Chapelain%2C+A">A. Chapelain</a>, <a href="/search/physics?searchtype=author&query=Charity%2C+S">S. Charity</a>, <a href="/search/physics?searchtype=author&query=Chislett%2C+R">R. Chislett</a> , et al. (152 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2104.03240v2-abstract-short" style="display: inline;"> This paper presents the beam dynamics systematic corrections and their uncertainties for the Run-1 data set of the Fermilab Muon g-2 Experiment. Two corrections to the measured muon precession frequency $蠅_a^m$ are associated with well-known effects owing to the use of electrostatic quadrupole (ESQ) vertical focusing in the storage ring. An average vertically oriented motional magnetic field is fe… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2104.03240v2-abstract-full').style.display = 'inline'; document.getElementById('2104.03240v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2104.03240v2-abstract-full" style="display: none;"> This paper presents the beam dynamics systematic corrections and their uncertainties for the Run-1 data set of the Fermilab Muon g-2 Experiment. Two corrections to the measured muon precession frequency $蠅_a^m$ are associated with well-known effects owing to the use of electrostatic quadrupole (ESQ) vertical focusing in the storage ring. An average vertically oriented motional magnetic field is felt by relativistic muons passing transversely through the radial electric field components created by the ESQ system. The correction depends on the stored momentum distribution and the tunes of the ring, which has relatively weak vertical focusing. Vertical betatron motions imply that the muons do not orbit the ring in a plane exactly orthogonal to the vertical magnetic field direction. A correction is necessary to account for an average pitch angle associated with their trajectories. A third small correction is necessary because muons that escape the ring during the storage time are slightly biased in initial spin phase compared to the parent distribution. Finally, because two high-voltage resistors in the ESQ network had longer than designed RC time constants, the vertical and horizontal centroids and envelopes of the stored muon beam drifted slightly, but coherently, during each storage ring fill. This led to the discovery of an important phase-acceptance relationship that requires a correction. The sum of the corrections to $蠅_a^m$ is 0.50 $\pm$ 0.09 ppm; the uncertainty is small compared to the 0.43 ppm statistical precision of $蠅_a^m$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2104.03240v2-abstract-full').style.display = 'none'; document.getElementById('2104.03240v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 23 April, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 7 April, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">35 pages, 29 figures. Accepted by Phys. Rev. Accel. Beams</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> FERMILAB-PUB-21-133-E </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. Accel. Beams 24, 044002 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1907.01900">arXiv:1907.01900</a> <span> [<a href="https://arxiv.org/pdf/1907.01900">pdf</a>, <a href="https://arxiv.org/ps/1907.01900">ps</a>, <a href="https://arxiv.org/format/1907.01900">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Atomic and Molecular Clusters">physics.atm-clus</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Atomic Physics">physics.atom-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevA.100.042701">10.1103/PhysRevA.100.042701 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Molecular size effects on diffraction resonances in positronium formation from fullerenes </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Hervieux%2C+P">Paul-Antoine Hervieux</a>, <a href="/search/physics?searchtype=author&query=Chakraborty%2C+A+R">Anzumaan R. Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Chakraborty%2C+H+S">Himadri S. Chakraborty</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1907.01900v1-abstract-short" style="display: inline;"> We previously predicted [P.A. Hervieux et al., Phys. Rev. A \textbf{95}, 020701 (2017)] that owing to predominant electron capture by incoming positrons from the molecular shell, C$_{60}$ acts like a spherical diffractor inducing resonances in the positronium (Ps) formation as a function of the positron impact energy. By extending the study for a larger C$_{240}$ fullerene target, we now demonstra… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1907.01900v1-abstract-full').style.display = 'inline'; document.getElementById('1907.01900v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1907.01900v1-abstract-full" style="display: none;"> We previously predicted [P.A. Hervieux et al., Phys. Rev. A \textbf{95}, 020701 (2017)] that owing to predominant electron capture by incoming positrons from the molecular shell, C$_{60}$ acts like a spherical diffractor inducing resonances in the positronium (Ps) formation as a function of the positron impact energy. By extending the study for a larger C$_{240}$ fullerene target, we now demonstrate that the diffraction resonances compactify in energy in analogy with the shrinking fringe separation for larger slit size in classical single-slit experiment. The result brings further impetus for conducting Ps spectroscopic experiments with fullerene targets, including target- and/or captured-level differential measurements. The ground states of the fullerenes are modeled in a spherical jellium frame of the local density approximation (LDA) method with the exchange-correlation functional based on the van Leeuween and Baerends (LB94) model potential, while the positron impact and Ps formation are treated in the continuum distorted-wave final state (CDW-FS) approximation. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1907.01900v1-abstract-full').style.display = 'none'; document.getElementById('1907.01900v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 1 July, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2019. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 2 reference pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1610.00335</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. A 100, 042701 (2019) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1610.00335">arXiv:1610.00335</a> <span> [<a href="https://arxiv.org/pdf/1610.00335">pdf</a>, <a href="https://arxiv.org/ps/1610.00335">ps</a>, <a href="https://arxiv.org/format/1610.00335">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Atomic and Molecular Clusters">physics.atm-clus</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Atomic Physics">physics.atom-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevA.95.020701">10.1103/PhysRevA.95.020701 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Ubiquitous diffraction resonances in positronium formation from fullerenes </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Hervieux%2C+P">Paul-Antoine Hervieux</a>, <a href="/search/physics?searchtype=author&query=Chakraborty%2C+A+R">Anzumaan R. Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Chakraborty%2C+H+S">Himadri S. Chakraborty</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1610.00335v1-abstract-short" style="display: inline;"> Due to the dominant electron capture by positrons from the molecular wall and the spatial dephasing across the wall-width, a powerful diffraction effect universally underlies the positronium (Ps) formation from fullerenes. This results into trains of resonances in the Ps formation cross section as a function of the positron beam energy, producing uniform structures in recoil momenta in analogy wit… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1610.00335v1-abstract-full').style.display = 'inline'; document.getElementById('1610.00335v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1610.00335v1-abstract-full" style="display: none;"> Due to the dominant electron capture by positrons from the molecular wall and the spatial dephasing across the wall-width, a powerful diffraction effect universally underlies the positronium (Ps) formation from fullerenes. This results into trains of resonances in the Ps formation cross section as a function of the positron beam energy, producing uniform structures in recoil momenta in analogy with classical single-slit diffraction fringes in the configuration space. The prediction opens a hitherto unknown avenue of Ps spectroscopy with nanomaterials. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1610.00335v1-abstract-full').style.display = 'none'; document.getElementById('1610.00335v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 October, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">6 pages, 3 figures, submitted</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev A Rapid 2017 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1608.04901">arXiv:1608.04901</a> <span> [<a href="https://arxiv.org/pdf/1608.04901">pdf</a>, <a href="https://arxiv.org/format/1608.04901">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Chemical Physics">physics.chem-ph</span> </div> </div> <p class="title is-5 mathjax"> Evolutionary algorithm based configuration interaction approach </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R">Rahul Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Ghosh%2C+D">Debashree Ghosh</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1608.04901v1-abstract-short" style="display: inline;"> A stochastic configuration interaction method based on evolutionary algorithm is designed as an affordable approximation to full configuration interaction (FCI). The algorithm comprises of initiation, propagation and termination steps, where the propagation step is performed with cloning, mutation and cross-over, taking inspiration from genetic algorithm. We have tested its accuracy in 1D Hubbard… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1608.04901v1-abstract-full').style.display = 'inline'; document.getElementById('1608.04901v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1608.04901v1-abstract-full" style="display: none;"> A stochastic configuration interaction method based on evolutionary algorithm is designed as an affordable approximation to full configuration interaction (FCI). The algorithm comprises of initiation, propagation and termination steps, where the propagation step is performed with cloning, mutation and cross-over, taking inspiration from genetic algorithm. We have tested its accuracy in 1D Hubbard problem and a molecular system (symmetric bond breaking of water molecule). We have tested two different fitness functions based on energy of the determinants and the CI coefficients of determinants. We find that the absolute value of CI coefficients is a more suitable fitness function when combined with a fixed selection scheme. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1608.04901v1-abstract-full').style.display = 'none'; document.getElementById('1608.04901v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 17 August, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">5 pages, 5 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1602.03845">arXiv:1602.03845</a> <span> [<a href="https://arxiv.org/pdf/1602.03845">pdf</a>, <a href="https://arxiv.org/ps/1602.03845">ps</a>, <a href="https://arxiv.org/format/1602.03845">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="General Relativity and Quantum Cosmology">gr-qc</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Instrumentation and Methods for Astrophysics">astro-ph.IM</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Instrumentation and Detectors">physics.ins-det</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.95.062003">10.1103/PhysRevD.95.062003 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Calibration of the Advanced LIGO detectors for the discovery of the binary black-hole merger GW150914 </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=The+LIGO+Scientific+Collaboration"> The LIGO Scientific Collaboration</a>, <a href="/search/physics?searchtype=author&query=Abbott%2C+B+P">B. P. Abbott</a>, <a href="/search/physics?searchtype=author&query=Abbott%2C+R">R. Abbott</a>, <a href="/search/physics?searchtype=author&query=Abbott%2C+T+D">T. D. Abbott</a>, <a href="/search/physics?searchtype=author&query=Abernathy%2C+M+R">M. R. Abernathy</a>, <a href="/search/physics?searchtype=author&query=Ackley%2C+K">K. Ackley</a>, <a href="/search/physics?searchtype=author&query=Adams%2C+C">C. Adams</a>, <a href="/search/physics?searchtype=author&query=Addesso%2C+P">P. Addesso</a>, <a href="/search/physics?searchtype=author&query=Adhikari%2C+R+X">R. X. Adhikari</a>, <a href="/search/physics?searchtype=author&query=Adya%2C+V+B">V. B. Adya</a>, <a href="/search/physics?searchtype=author&query=Affeldt%2C+C">C. Affeldt</a>, <a href="/search/physics?searchtype=author&query=Aggarwal%2C+N">N. Aggarwal</a>, <a href="/search/physics?searchtype=author&query=Aguiar%2C+O+D">O. D. Aguiar</a>, <a href="/search/physics?searchtype=author&query=Ain%2C+A">A. Ain</a>, <a href="/search/physics?searchtype=author&query=Ajith%2C+P">P. Ajith</a>, <a href="/search/physics?searchtype=author&query=Allen%2C+B">B. Allen</a>, <a href="/search/physics?searchtype=author&query=Altin%2C+P+A">P. A. Altin</a>, <a href="/search/physics?searchtype=author&query=Amariutei%2C+D+V">D. V. Amariutei</a>, <a href="/search/physics?searchtype=author&query=Anderson%2C+S+B">S. B. Anderson</a>, <a href="/search/physics?searchtype=author&query=Anderson%2C+W+G">W. G. Anderson</a>, <a href="/search/physics?searchtype=author&query=Arai%2C+K">K. Arai</a>, <a href="/search/physics?searchtype=author&query=Araya%2C+M+C">M. C. Araya</a>, <a href="/search/physics?searchtype=author&query=Arceneaux%2C+C+C">C. C. Arceneaux</a>, <a href="/search/physics?searchtype=author&query=Areeda%2C+J+S">J. S. Areeda</a>, <a href="/search/physics?searchtype=author&query=Arun%2C+K+G">K. G. Arun</a> , et al. (702 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1602.03845v2-abstract-short" style="display: inline;"> In Advanced LIGO, detection and astrophysical source parameter estimation of the binary black hole merger GW150914 requires a calibrated estimate of the gravitational-wave strain sensed by the detectors. Producing an estimate from each detector's differential arm length control loop readout signals requires applying time domain filters, which are designed from a frequency domain model of the detec… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1602.03845v2-abstract-full').style.display = 'inline'; document.getElementById('1602.03845v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1602.03845v2-abstract-full" style="display: none;"> In Advanced LIGO, detection and astrophysical source parameter estimation of the binary black hole merger GW150914 requires a calibrated estimate of the gravitational-wave strain sensed by the detectors. Producing an estimate from each detector's differential arm length control loop readout signals requires applying time domain filters, which are designed from a frequency domain model of the detector's gravitational-wave response. The gravitational-wave response model is determined by the detector's opto-mechanical response and the properties of its feedback control system. The measurements used to validate the model and characterize its uncertainty are derived primarily from a dedicated photon radiation pressure actuator, with cross-checks provided by optical and radio frequency references. We describe how the gravitational-wave readout signal is calibrated into equivalent gravitational-wave-induced strain and how the statistical uncertainties and systematic errors are assessed. Detector data collected over 38 calendar days, from September 12 to October 20, 2015, contain the event GW150914 and approximately 16 of coincident data used to estimate the event false alarm probability. The calibration uncertainty is less than 10% in magnitude and 10 degrees in phase across the relevant frequency band 20 Hz to 1 kHz. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1602.03845v2-abstract-full').style.display = 'none'; document.getElementById('1602.03845v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 28 February, 2017; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 11 February, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">15 pages, 10 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 95, 062003 (2017) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1502.02284">arXiv:1502.02284</a> <span> [<a href="https://arxiv.org/pdf/1502.02284">pdf</a>, <a href="https://arxiv.org/format/1502.02284">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="General Relativity and Quantum Cosmology">gr-qc</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Optics">physics.optics</span> </div> </div> <p class="title is-5 mathjax"> In-situ characterization of the thermal state of resonant optical interferometers via tracking of their higher-order mode resonances </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Mueller%2C+C+L">Chris L. Mueller</a>, <a href="/search/physics?searchtype=author&query=Fulda%2C+P">Paul Fulda</a>, <a href="/search/physics?searchtype=author&query=Adhikari%2C+R+X">Rana X. Adhikari</a>, <a href="/search/physics?searchtype=author&query=Arai%2C+K">Koji Arai</a>, <a href="/search/physics?searchtype=author&query=Brooks%2C+A+F">Aidan F. Brooks</a>, <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R">Rijuparna Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Frolov%2C+V+V">Valery V. Frolov</a>, <a href="/search/physics?searchtype=author&query=Fritschel%2C+P">Peter Fritschel</a>, <a href="/search/physics?searchtype=author&query=King%2C+E+J">Eleanor J. King</a>, <a href="/search/physics?searchtype=author&query=Tanner%2C+D+B">David B. Tanner</a>, <a href="/search/physics?searchtype=author&query=Yamamoto%2C+H">Hiroaki Yamamoto</a>, <a href="/search/physics?searchtype=author&query=Mueller%2C+G">Guido Mueller</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1502.02284v1-abstract-short" style="display: inline;"> Thermal lensing in resonant optical interferometers such as those used for gravitational wave detection is a concern due to the negative impact on control signals and instrument sensitivity. In this paper we describe a method for monitoring the thermal state of such interferometers by probing the higher-order spatial mode resonances of the cavities within them. We demonstrate the use of this techn… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1502.02284v1-abstract-full').style.display = 'inline'; document.getElementById('1502.02284v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1502.02284v1-abstract-full" style="display: none;"> Thermal lensing in resonant optical interferometers such as those used for gravitational wave detection is a concern due to the negative impact on control signals and instrument sensitivity. In this paper we describe a method for monitoring the thermal state of such interferometers by probing the higher-order spatial mode resonances of the cavities within them. We demonstrate the use of this technique to measure changes in the Advanced LIGO input mode cleaner cavity geometry as a function of input power, and subsequently infer the optical absorption at the mirror surfaces at the level of 1 ppm per mirror. We also demonstrate the generation of a useful error signal for thermal state of the Advanced LIGO power recycling cavity by continuously tracking the first order spatial mode resonance frequency. Such an error signal could be used as an input to thermal compensation systems to maintain the interferometer cavity geometries in the presence of transients in circulating light power levels, thereby maintaining optimal sensitivity and maximizing the duty-cycle of the detectors. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1502.02284v1-abstract-full').style.display = 'none'; document.getElementById('1502.02284v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 8 February, 2015; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2015. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1404.5223">arXiv:1404.5223</a> <span> [<a href="https://arxiv.org/pdf/1404.5223">pdf</a>, <a href="https://arxiv.org/ps/1404.5223">ps</a>, <a href="https://arxiv.org/format/1404.5223">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Chemical Physics">physics.chem-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevA.89.042505">10.1103/PhysRevA.89.042505 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Generalized Pauli conditions on the spectra of one-electron reduced density matrices of atoms and molecules </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R">Romit Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Mazziotti%2C+D+A">David A. Mazziotti</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1404.5223v1-abstract-short" style="display: inline;"> The Pauli exclusion principle requires the spectrum of the occupation numbers of the one-electron reduced density matrix (1-RDM) to be bounded by one and zero. However, for a 1-RDM from a wave function, there exist additional conditions on the spectrum of occupation numbers, known as pure N-representability conditions or generalized Pauli conditions. For atoms and molecules, we measure through a E… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1404.5223v1-abstract-full').style.display = 'inline'; document.getElementById('1404.5223v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1404.5223v1-abstract-full" style="display: none;"> The Pauli exclusion principle requires the spectrum of the occupation numbers of the one-electron reduced density matrix (1-RDM) to be bounded by one and zero. However, for a 1-RDM from a wave function, there exist additional conditions on the spectrum of occupation numbers, known as pure N-representability conditions or generalized Pauli conditions. For atoms and molecules, we measure through a Euclidean-distance metric the proximity of the 1-RDM spectrum to the facets of the convex set (polytope) generated by the generalized Pauli conditions. For the ground state of any spin symmetry, as long as time-reversal symmetry is considered in the definition of the polytope, we find that the 1-RDM's spectrum is pinned to the boundary of the polytope. In contrast, for excited states, we find that the 1-RDM spectrum is not pinned. Proximity of the 1-RDM to the boundary of the polytope provides a measurement and classification of electron correlation and entanglement within the quantum system. For comparison, this distance to the boundary of the generalized Pauli conditions is also compared to the distance to the polytope of the traditional Pauli conditions, and the distance to the nearest 1-RDM spectrum from a Slater determinant. We explain the difference in pinning in the ground- and excited-state 1-RDMs through a connection to the N-representability conditions of the two-electron reduced density matrix. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1404.5223v1-abstract-full').style.display = 'none'; document.getElementById('1404.5223v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 21 April, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2014. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> R. Chakraborty and D. A. Mazziotti, Phys. Rev. A 89, 042505 (2014) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1012.5898">arXiv:1012.5898</a> <span> [<a href="https://arxiv.org/pdf/1012.5898">pdf</a>, <a href="https://arxiv.org/ps/1012.5898">ps</a>, <a href="https://arxiv.org/format/1012.5898">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Disordered Systems and Neural Networks">cond-mat.dis-nn</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Instrumentation and Detectors">physics.ins-det</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1063/1.3509385">10.1063/1.3509385 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Low noise constant current source for bias dependent noise measurements </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Talukdar%2C+D">D. Talukdar</a>, <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R+K">R. K. Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Bose%2C+S">Suvendu Bose</a>, <a href="/search/physics?searchtype=author&query=Bardhan%2C+K+K">K. K. Bardhan</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1012.5898v1-abstract-short" style="display: inline;"> A low noise constant current source used for measuring the $1/f$ noise in disordered systems in ohmic as well as non-ohmic regime is described. The source can supply low noise constant current starting from as low as 1 $渭$A to a few tens of mA with a high voltage compliance limit of around 20 Volts. The constant current source has several stages which can work in a standalone manner or together to… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1012.5898v1-abstract-full').style.display = 'inline'; document.getElementById('1012.5898v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1012.5898v1-abstract-full" style="display: none;"> A low noise constant current source used for measuring the $1/f$ noise in disordered systems in ohmic as well as non-ohmic regime is described. The source can supply low noise constant current starting from as low as 1 $渭$A to a few tens of mA with a high voltage compliance limit of around 20 Volts. The constant current source has several stages which can work in a standalone manner or together to supply the desired value of load current. The noise contributed by the current source is very low in the entire current range. The fabrication of a low noise voltage preamplifier modified for bias dependent noise measurements and based on the existing design available in the MAT04 data sheet is also described. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1012.5898v1-abstract-full').style.display = 'none'; document.getElementById('1012.5898v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 29 December, 2010; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2010. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 7 figures, to be published in Review of Scientific Instruments</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Rev. Sci. Instrum. 82, 013906 (2011) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/0905.2223">arXiv:0905.2223</a> <span> [<a href="https://arxiv.org/pdf/0905.2223">pdf</a>, <a href="https://arxiv.org/ps/0905.2223">ps</a>, <a href="https://arxiv.org/format/0905.2223">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Atomic Physics">physics.atom-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevA.83.032705">10.1103/PhysRevA.83.032705 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Numerical modeling of collisional dynamics of Sr in an optical dipole trap </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Yan%2C+M">M. Yan</a>, <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R">R. Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Mazurenko%2C+A">A. Mazurenko</a>, <a href="/search/physics?searchtype=author&query=Mickelson%2C+P+G">P. G. Mickelson</a>, <a href="/search/physics?searchtype=author&query=de+Escobar%2C+Y+N+M">Y. N. Martinez de Escobar</a>, <a href="/search/physics?searchtype=author&query=DeSalvo%2C+B+J">B. J. DeSalvo</a>, <a href="/search/physics?searchtype=author&query=Killian%2C+T+C">T. C. Killian</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="0905.2223v2-abstract-short" style="display: inline;"> We describe a model of inelastic and elastic collisional dynamics of atoms in an optical dipole trap that utilizes numerical evaluation of statistical mechanical quantities and numerical solution of equations for the evolution of number and temperature of trapped atoms. It can be used for traps that possess little spatial symmetry and when the ratio of trap depth to sample temperature is relativel… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0905.2223v2-abstract-full').style.display = 'inline'; document.getElementById('0905.2223v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="0905.2223v2-abstract-full" style="display: none;"> We describe a model of inelastic and elastic collisional dynamics of atoms in an optical dipole trap that utilizes numerical evaluation of statistical mechanical quantities and numerical solution of equations for the evolution of number and temperature of trapped atoms. It can be used for traps that possess little spatial symmetry and when the ratio of trap depth to sample temperature is relatively small. We compare simulation results with experiments on $^{88}$Sr and $^{84}$Sr, which have well-characterized collisional properties. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0905.2223v2-abstract-full').style.display = 'none'; document.getElementById('0905.2223v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 March, 2011; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 13 May, 2009; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2009. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">6 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Physical Review A 83, 032705 (2011) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/0809.0936">arXiv:0809.0936</a> <span> [<a href="https://arxiv.org/pdf/0809.0936">pdf</a>, <a href="https://arxiv.org/ps/0809.0936">ps</a>, <a href="https://arxiv.org/format/0809.0936">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Atomic Physics">physics.atom-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevA.79.060702">10.1103/PhysRevA.79.060702 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Inelastic and elastic collision rates for triplet states of ultracold strontium </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Traverso%2C+A">A. Traverso</a>, <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R">R. Chakraborty</a>, <a href="/search/physics?searchtype=author&query=de+Escobar%2C+Y+N+M">Y. N. Martinez de Escobar</a>, <a href="/search/physics?searchtype=author&query=Mickelson%2C+P+G">P. G. Mickelson</a>, <a href="/search/physics?searchtype=author&query=Nagel%2C+S+B">S. B. Nagel</a>, <a href="/search/physics?searchtype=author&query=Yan%2C+M">M. Yan</a>, <a href="/search/physics?searchtype=author&query=Killian%2C+T+C">T. C. Killian</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="0809.0936v2-abstract-short" style="display: inline;"> We report measurement of the inelastic and elastic collision rates for ^{88}Sr atoms in the (5s5p)^3P_0 state in a crossed-beam optical dipole trap. This is the first measurement of ultracold collision properties of a ^3P_0 level in an alkaline-earth atom or atom with similar electronic structure. Since the (5s5p)^3P_0 state is the lowest level of the triplet manifold, large loss rates indicate… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0809.0936v2-abstract-full').style.display = 'inline'; document.getElementById('0809.0936v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="0809.0936v2-abstract-full" style="display: none;"> We report measurement of the inelastic and elastic collision rates for ^{88}Sr atoms in the (5s5p)^3P_0 state in a crossed-beam optical dipole trap. This is the first measurement of ultracold collision properties of a ^3P_0 level in an alkaline-earth atom or atom with similar electronic structure. Since the (5s5p)^3P_0 state is the lowest level of the triplet manifold, large loss rates indicate the importance of principle-quantum-number-changing collisions at short range. We also provide an estimate of the collisional loss rates for the (5s5p){^3P_2} state. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('0809.0936v2-abstract-full').style.display = 'none'; document.getElementById('0809.0936v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 3 May, 2009; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 4 September, 2008; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2008. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">4 pages 5 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/physics/0406012">arXiv:physics/0406012</a> <span> [<a href="https://arxiv.org/pdf/physics/0406012">pdf</a>, <a href="https://arxiv.org/ps/physics/0406012">ps</a>, <a href="https://arxiv.org/format/physics/0406012">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="General Physics">physics.gen-ph</span> </div> </div> <p class="title is-5 mathjax"> Quantum Entanglement, Cognition & The Processes of Inference </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&query=Chakraborty%2C+R">R. Chakraborty</a>, <a href="/search/physics?searchtype=author&query=Mitra%2C+I">I. Mitra</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="physics/0406012v1-abstract-short" style="display: inline;"> Church's hypothesis and Godel's theorem may provide constraints on mental processes.As a relief quantum entanglement may lead to a definite proposal as regards the nature of reality and how much of it we are able to know and how do we know it.We deal with these questions and have devised a Gedanken Experiment showing the redundancy of principle of reality. We thereby propose a model describing t… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('physics/0406012v1-abstract-full').style.display = 'inline'; document.getElementById('physics/0406012v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="physics/0406012v1-abstract-full" style="display: none;"> Church's hypothesis and Godel's theorem may provide constraints on mental processes.As a relief quantum entanglement may lead to a definite proposal as regards the nature of reality and how much of it we are able to know and how do we know it.We deal with these questions and have devised a Gedanken Experiment showing the redundancy of principle of reality. We thereby propose a model describing the processes of making conclusions from a given set of premises though without the reference of neurobiological processes at present. We argue thereafter that the physical laws of nature may not be universal as it seems, being dependent on some physical processes namely computation and the states of neural cognitive states which may be governed yet by some other rule. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('physics/0406012v1-abstract-full').style.display = 'none'; document.getElementById('physics/0406012v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 3 June, 2004; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2004. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Latex2e, 21 Pages, 1 Postscript figure</span> </p> </li> </ol> <div class="is-hidden-tablet">  <span class="help" style="display: inline-block;"><a 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