{"id":930185,"date":"2024-01-22T00:11:09","date_gmt":"2024-01-22T00:11:09","guid":{"rendered":"https:\/\/projects.ift.uam-csic.es\/holotube\/?p=930185"},"modified":"2024-01-23T20:09:40","modified_gmt":"2024-01-23T20:09:40","slug":"january-23-bound-on-thermalization-from-hydrodynamic-fluctuations-by-luca-delacretaz","status":"publish","type":"post","link":"https:\/\/projects.ift.uam-csic.es\/holotube\/2024\/01\/22\/january-23-bound-on-thermalization-from-hydrodynamic-fluctuations-by-luca-delacretaz\/","title":{"rendered":"January 23: &#8220;Bound on thermalization from hydrodynamic fluctuations&#8221; by Luca Delacretaz"},"content":{"rendered":"\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p><strong>Date : January 23, 2024, <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">18:15 CET<\/mark><\/strong><\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p><strong><strong>Luca Delacretaz<\/strong><\/strong> (University of Chicago)<\/p>\n<\/div><\/div>\n\n\n\n<p><strong>Link:<\/strong>&nbsp;<a href=\"https:\/\/ua-edu.zoom.us\/j\/86037901654?pwd=bkVHY1pGYUdqcDF3SnhQb2lHSGVkQT09\">https:\/\/ua-edu.zoom.us\/j\/86037901654?pwd=bkVHY1pGYUdqcDF3SnhQb2lHSGVkQT09<\/a><\/p>\n\n\n\n<p><strong>Bound on thermalization from hydrodynamic fluctuations<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p><strong>Abstract:<\/strong> Interacting systems thermalize. They can do so arbitrarily slowly, but not arbitrarily fast: the time scale necessary for a quantum many-body system to reach local thermal equilibrium has been conjectured to be bounded below by the Planckian time, \\hbar\/T. I will show that consistency of hydrodynamics (or diffusion), which generically emerges at late times, implies that this local equilibration time indeed has a lower bound. The key tool is the derivation of universal corrections to diffusion at intermediate times using EFT techniques: when these corrections are large the system cannot have thermalized. For the special case of CFTs, combining this argument with scale invariance allows one to prove the conjectured Planckian bound. I will also discuss spin chains, where the knowledge of these universal corrections to diffusion can allow for precision tests of thermalization, and a more accurate identification of a thermalizing system&#8217;s dissipative universality class with limited numerical resources.<\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-content\/uploads\/2024\/01\/DelacretazHoloTube.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of Embed of DelacretazHoloTube..\"><\/object><a id=\"wp-block-file--media-9ac0a312-5789-4ca3-9389-09bff46d8120\" href=\"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-content\/uploads\/2024\/01\/DelacretazHoloTube.pdf\">DelacretazHoloTube<\/a><a href=\"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-content\/uploads\/2024\/01\/DelacretazHoloTube.pdf\" class=\"wp-block-file__button\" download aria-describedby=\"wp-block-file--media-9ac0a312-5789-4ca3-9389-09bff46d8120\">Download<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Date : January 23, 2024, 18:15 CET Luca Delacretaz (University of Chicago) Link:&nbsp;https:\/\/ua-edu.zoom.us\/j\/86037901654?pwd=bkVHY1pGYUdqcDF3SnhQb2lHSGVkQT09 Bound on thermalization from hydrodynamic fluctuations Abstract: Interacting systems thermalize. They can do so arbitrarily slowly, but not arbitrarily fast: the time scale necessary for a quantum many-body system to reach local thermal equilibrium has been conjectured to be bounded below by [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-930185","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/posts\/930185","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/comments?post=930185"}],"version-history":[{"count":3,"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/posts\/930185\/revisions"}],"predecessor-version":[{"id":930195,"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/posts\/930185\/revisions\/930195"}],"wp:attachment":[{"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/media?parent=930185"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/categories?post=930185"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/tags?post=930185"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}