{"id":532,"date":"2022-09-26T12:49:33","date_gmt":"2022-09-26T19:49:33","guid":{"rendered":"\/wp\/hades\/?p=532"},"modified":"2022-09-26T12:49:33","modified_gmt":"2022-09-26T19:49:33","slug":"quantitative-convergence-of-semiclassical-particle-trajectories","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2022\/09\/26\/quantitative-convergence-of-semiclassical-particle-trajectories\/","title":{"rendered":"Quantitative Convergence of Semiclassical Particle Trajectories"},"content":{"rendered":"\n\t\t\t\t\n<p>The HADES seminar on Tuesday,\u00a0<strong>September 27th<\/strong>\u00a0will be at\u00a0<strong>3:30 pm<\/strong>\u00a0in\u00a0<strong>Room 740<\/strong>.<\/p>\n\n\n\n<p><strong>Speaker:<\/strong> Yonah Borns-Weil<\/p>\n\n\n\n<p><strong>Abstract:<\/strong>\u00a0We study the trajectories of a quantum particle in a detector under repeated indirect measurement, in the semiclassical regime. We extend the results of Benoist, Fraas, and Fr\u00f6hlich to discrete-time quantum maps on the quantized torus, and provide the first numerics illustrating the results. In addition, we derive quantitative bounds on the convergence to a classical trajectory based on classical dynamical measures of chaos of the system. No prior knowledge of quantum mechanics will be assumed. This is joint work with Izak Oltman.<\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday,\u00a0September 27th\u00a0will be at\u00a03:30 pm\u00a0in\u00a0Room 740. Speaker: Yonah Borns-Weil Abstract:\u00a0We study the trajectories of a quantum particle in a detector under repeated indirect measurement, in the semiclassical regime. We extend the results of Benoist, Fraas, and Fr\u00f6hlich to discrete-time quantum maps on the quantized torus, and provide the first numerics illustrating [&hellip;]<\/p>\n","protected":false},"author":91,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-532","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/532","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/users\/91"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=532"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/532\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=532"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=532"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=532"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}