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Shannon entropy and avoided crossings in optical microcavities
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en"> <head> <!-- Meta Tags --> <meta http-equiv="content-type" content="application/xhtml+xml; charset=utf-8" /> <meta http-equiv="content-language" content="en-ie" /> <meta name="robots" content="index, follow" /> <meta name="description" content="" /> <meta name="keywords" content="" /> <meta name="author" content="Starlight Solutions" /> <!-- Favicon --> <link rel="shortcut icon" href="http://programme.exordo.com/nanop2018/favicon.ico" /> <!-- CSS --> <link rel="stylesheet" type="text/css" href="/nanop2018/css/layout.css" /><link rel="stylesheet" type="text/css" href="/nanop2018/packages/starolas/css/dashboard.css" /><link rel="stylesheet" type="text/css" href="/nanop2018/css/style.css" /> <script type="text/javascript" src="/nanop2018/packages/basics/js/generic.js"></script><script type="text/javascript" src="/nanop2018/packages/starolas/js/jquery.js"></script><script type="text/javascript" src="/nanop2018/packages/basics/js/json2.js"></script> <title>Shannon entropy and avoided crossings in optical microcavities</title> </head> <body> <div id="page"> <div id="page_header"> <div id="page_header_banner"> <div class="dates"> <div class="year"> 2018, </div> <div class="days"> 1st - 3rd October </div> </div> <div class="name"> <a href="http://premc.org/conferences/nanop-nanophotonics-micro-nano-optics/" onclick="window.open(this.href,'_blank');return false;">Nanophotonics and Micro/Nano Optics International Conference 2018</a> </div> <div class="description"> <div class="dots"> <a href="http://www.exordo.com" onclick="window.open(this.href,'_blank');return false;"><img src="/nanop2018/img/template/exordo_dots.png" height="22" width="61" alt="Ex Ordo Dots" /></a> </div> <div class="text"> <a href="/nanop2018/dashboard/programme/" >Conference Programme</a> </div> <div class="status"> </div> </div> </div> </div> <div id="page_content"> <div id="page_content_main_container"> <div class="page_content_main"> <script type="text/javascript"> /* <![CDATA[ */ // Show the long version of the abstract function showAbstract(id) { document.getElementById('abstract_short_' + id).style.display = "none"; document.getElementById('abstract_long_' + id).style.display = "block"; return false; } /* ]]> */ </script> <style> h1 { font-size: 18pt; line-height: 32px; margin: 20px 0px 10px; } </style> <div class="delegate__presentation"> <h1>Shannon entropy and avoided crossings in optical microcavities</h1> <h2>Abstract</h2> <div id="abstract_short_1"> <p> We investigated the relation between Shannon entropy and avoided crossings under strong coupling in optical聽microcavities. Before our work, the relation between Shannon entropy and avoided crossing was investigated in atomic... [ <a href="/nanop2018/" onclick="return showAbstract('1');">view full abstract</a> ] </p> </div> <div id="abstract_long_1" style="display:none;"> <p> <p>We investigated the relation between Shannon entropy and avoided crossings under strong coupling in optical聽microcavities. Before our work, the relation between Shannon entropy and avoided crossing was investigated in atomic physics, and the result was opposite to ours, i.e., Shannon entropy for an electron decreases due to electron ionization as we move close to the center of the avoided crossing. On the contrary, Shannon entropy of the probability density for optical microcavities (quantum billiards) increases due to the coherent superposition of wave functions as the center of the avoided crossing is approached, but both cases show exchanges of Shannon entropy as well as mode exchanges. Shannon entropy of the probability density for a closed elliptic billiard changes little with the eccentricity, while Shannon entropy of the probability density for an open elliptic billiard is maximized at the center of the avoided crossing. This maximization and exchange of Shannon entropy in an open elliptic billiard comes from the collective Lamb shift, which is an energy-level shift due to the interaction of energy levels with each other via the bath, and it can also induce an avoided crossing and coherent superposition of wave functions. In a closed quadrupole billiard, Shannon entropy is also maximized as the center of the avoided crossing is approached with both exchange of Shannon entropies as well as mode patterns. This maximization and exchange of Shannon entropy in a closed quadrupole billiard comes from the nonlinear dynamical effects in a chaotic system. Irrespective of the origin of the avoided crossings, the open elliptic cavity and the closed quadrupole cavity show similar behaviors to Shannon entropy. That is, the collective Lamb shift of open quantum systems and the symmetry breaking in the closed chaotic quantum systems have equivalent effects on the Shannon entropy.</p><br /><p><br></p> </p> </div> <h2>Authors</h2> <ol> <li> <u>Park Kyuwon</u> (School of Physics and Astronomy, Seoul National University, Seoul.) </li> <li> Moon Songki (School of Physics and Astronomy, Seoul National University, Seoul.) </li> <li> Shin Younghoon (Samsung Electronics) </li> <li> Kim Jinuk (School of Physics and Astronomy, Seoul National University, Seoul.) </li> <li> Jeong Kabgyun (IMDARC, Department of Mathematical Sciences, Seoul National University, Seoul) </li> </ol> <h2>Topic Areas</h2> <p> Nonlinear nano-optics , Nano-Optomechanics , Quantum nano-optics </p> <h2>Session</h2> <p> PS2 » <a href="/nanop2018/delegates/session/47/" >Poster Session</a> (13:30 - Tuesday, 2nd October, HALL & ROOM 3) </p> <div class="presentation_files"> <h2>Presentation Files</h2> <p>The presenter has not uploaded any presentation files. </p> </div> </div> </div> </div> <div id="page_content_side_container"> <div class="page_content_side"> <div class="menu"> </div> </div> </div> <div class="clear"> </div> </div> <div id="page_footer"> <div id="page_footer_container"> <div class="links"> <a href="mailto:support@exordo.com" >Email Support</a> • <a href="https://www.exordo.com/blog/" onclick="window.open(this.href,'_blank');return false;">Blog</a> • <a href="https://www.exordo.com/legal/data-protection-and-privacy-policy" onclick="window.open(this.href,'_blank');return false;">Privacy Policy</a> • <a href="/nanop2018/cancellation-policy" >Cancellation Policy</a> </div> <div class="powered_by"> <div class="pb"> powered by </div> <div class="exordo"> <a href="http://www.exordo.com" onclick="window.open(this.href,'_blank');return false;"><img src="/nanop2018/img/template/exordo_logo.png" height="24" width="121" alt="Ex Ordo" /></a> </div> </div> </div> </div> </div> <div class="url" style="display: none; text-indent: -999em;">http://programme.exordo.com/nanop2018/system/is_sync/</div> <script type="text/javascript" src="/nanop2018/packages/starolas/js/is_syncing.js"></script> </body> </html>