{"id":728,"date":"2025-07-31T16:36:41","date_gmt":"2025-07-31T20:36:41","guid":{"rendered":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/?p=728"},"modified":"2025-07-31T16:36:41","modified_gmt":"2025-07-31T20:36:41","slug":"quantum-dissipative-systems","status":"publish","type":"post","link":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/2025\/07\/quantum-dissipative-systems\/","title":{"rendered":"Quantum dissipative systems"},"content":{"rendered":"<h3 class=\"metadatos\">Speaker:<span style=\"color: #993300\"> <strong>L\u00e9o Vivion<\/strong><\/span><\/h3>\n<h3 class=\"metadatos\"><strong>Center for Mathematical Modeling.<\/strong><\/h3>\n<h3 class=\"metadatos\">Date: <strong>May 9th at 12:10 pm.<\/strong><\/h3>\n<div>\n<p><strong>Abstract : The problem of modeling dissipative effects in quantum physics dates back to the 1970s. After reviewing the main challenges associated with developing such models, I will present a specific model introduced by Bruneau and De Bi\u00e8vre in the early 2000s. This model describes the interactions between a classical particle and an abstract environment, where the environment acts on the classical particle as a linear friction force. One of the key strengths of this approach is that it can be naturally extended to the quantum setting.<\/strong><\/p>\n<div>\nIn the second part, I will discuss the dynamical properties of the quantum version of Bruneau and De Bi\u00e8vre\u2019s model. I will also present several heuristic computations indicating that, as in the classical case, the environment acts on the quantum particle as a linear friction force. These heuristic results are supported by numerical evidence.<\/div>\n<p><strong><br \/>\nVenue:<\/strong> DIM seminar room, Beauchef 851, 5th floor.<\/p>\n<p><strong>Zoom<\/strong>: <a href=\"https:\/\/uchile.zoom.us\/j\/93324747064?pwd=bzbZ2ADIpsi2ye6t00fJnwWOLJ4JLy.1\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/uchile.zoom.us\/j\/93324747064?pwd=bzbZ2ADIpsi2ye6t00fJnwWOLJ4JLy.1<\/a><\/p>\n<p>&nbsp;<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>L\u00e9o Vivion (Center for Mathematical Modeling.)<\/p>\n","protected":false},"author":125,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[5],"tags":[],"class_list":["post-728","post","type-post","status-publish","format-standard","hentry","category-past-seminar"],"_links":{"self":[{"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/728","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/users\/125"}],"replies":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/comments?post=728"}],"version-history":[{"count":1,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/728\/revisions"}],"predecessor-version":[{"id":729,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/posts\/728\/revisions\/729"}],"wp:attachment":[{"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/media?parent=728"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/categories?post=728"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/pdeseminar\/wp-json\/wp\/v2\/tags?post=728"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}