Document Zbl 1538.82032

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Lett., A</a> <a href="/?q=in%3A495713" title="Articles in this Issue">467, Article ID 128737, 6 p. (2023)</a>. </div> <div class="abstract">Summary: In this study, we investigate the formation of domain defects and the universal critical real-time dynamics in a two-component Bose-Einstein condensate with nonlinear quenching across the miscible-immiscible phase transition. By analyzing the Bogoliubov excitations, we obtain the power-law relations among the defect density, the phase transition delay and the quench time near the phase transition. Moreover, by simulating the real-time dynamics across the miscible-immiscible phase transition, we clearly show the formation of domain defects and the delay of the phase transition. Furthermore, we find that the domain defects are suppressed by large nonlinear coefficients and long quench times. To accurately characterize the domain defects, we quantify the defect excitations using the correlation length and the domain number. In addition, by combining the power-law relations between the phase transition delay and the quench time, we extract the critical exponents for different nonlinear coefficients. Our study not only confirms that the critical exponents do not sensitively depend on the nonlinear quenches but also provides a dynamic path toward the suppression of nonadiabatic excitation.</div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A82C26" title="MSC2020">82C26</a> </td> <td class="space"> Dynamic and nonequilibrium phase transitions (general) in statistical mechanics </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A82C27" title="MSC2020">82C27</a> </td> <td class="space"> Dynamic critical phenomena in statistical mechanics </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35Q55" title="MSC2020">35Q55</a> </td> <td class="space"> NLS equations (nonlinear Schrödinger equations) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35Q41" title="MSC2020">35Q41</a> </td> <td class="space"> Time-dependent Schrödinger equations and Dirac equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35B33" title="MSC2020">35B33</a> </td> <td class="space"> Critical exponents in context of PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A82C10" title="MSC2020">82C10</a> </td> <td class="space"> Quantum dynamics and nonequilibrium statistical mechanics (general) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35R07" title="MSC2020">35R07</a> </td> <td class="space"> PDEs on time scales </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Adefects+formation">defects formation</a>; <a href="/?q=ut%3Anonlinear+quenching">nonlinear quenching</a>; <a href="/?q=ut%3Auniversal+dynamics">universal dynamics</a>; <a href="/?q=ut%3Acritical+exponents">critical exponents</a>; <a href="/?q=ut%3ABose-Einstein+condensates">Bose-Einstein condensates</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1538.82032" data-ciurl="/ci/07677186" data-biburl="/bibtex/07677186.bib" data-amsurl="/amsrefs/07677186.bib" data-xmlurl="/xml/07677186.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07677186.pdf" title="Zbl 1538.82032 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.physleta.2023.128737" aria-label="DOI for “Universality in nonlinear passage through the miscible-immiscible phase transition in two component Bose-Einstein condensates”" title="10.1016/j.physleta.2023.128737">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2301.09389"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">(Sachdev, S., Quantum Phase Transitions (2011), Cambridge University Press: Cambridge University Press Cambridge) · <a href="/1233.82003" class="nowrap">Zbl 1233.82003</a></td> </tr><tr> <td>[2]</td> <td class="space">Morikawa, M., Cosmological inflation as a quantum phase transition, Prog. 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