{"id":1145,"date":"2022-11-17T13:06:33","date_gmt":"2022-11-17T21:06:33","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=1145"},"modified":"2022-11-17T13:06:33","modified_gmt":"2022-11-17T21:06:33","slug":"alexis-drouot-university-of-washington-2","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2022\/11\/17\/alexis-drouot-university-of-washington-2\/","title":{"rendered":"Alexis Drouot (University of Washington)"},"content":{"rendered":"\n\t\t\t\t\n<p>The APDE seminar on Monday, 11\/21, will be given by Alexis Drouot (U Washington) <strong>online<\/strong> (via Zoom) from <strong>4:10pm to 5:00pm PST<\/strong>. To participate, email Sung-Jin Oh (sjoh@math.berkeley.edu).<\/p>\n\n\n\n<p><strong>Title<\/strong>: Dirac operators and topological insulators.<\/p>\n\n\n\n<p><strong>Abstract<\/strong>: I will discuss a 2&#215;2 semiclassical Dirac equation that<br>emerges from the effective analysis of topological insulators, and<br>specifically focus on the evolution of coherent states initially<br>localized on the crossing set of the eigenvalues of the symbol.<br>Standard propagation of singularities results do not apply; instead,<br>we discover a surprising phenomenon. The dynamics breaks down in two<br>parts, one that immediately collapses, and one that propagates along a<br>seemingly novel quantum trajectory. This observation is consistent<br>with the bulk-edge correspondence, a principle that coarsely describes<br>features of transport in topological insulators. We illustrate our<br>result with various numerical simulations.<\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The APDE seminar on Monday, 11\/21, will be given by Alexis Drouot (U Washington) online (via Zoom) from 4:10pm to 5:00pm PST. To participate, email Sung-Jin Oh (sjoh@math.berkeley.edu). Title: Dirac operators and topological insulators. Abstract: I will discuss a 2&#215;2 semiclassical Dirac equation thatemerges from the effective analysis of topological insulators, andspecifically focus on the [&hellip;]<\/p>\n","protected":false},"author":106,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1145","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1145","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/users\/106"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=1145"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/1145\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=1145"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=1145"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=1145"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}