BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Mathematics - ECPv4.8.2//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Mathematics
X-ORIGINAL-URL:https://math.ua.edu
X-WR-CALDESC:Events for Mathematics
BEGIN:VEVENT
DTSTART;TZID=America/Chicago:20190204T110000
DTEND;TZID=America/Chicago:20190204T120000
DTSTAMP:20190326T003325
CREATED:20190108T194612Z
LAST-MODIFIED:20190201T205330Z
UID:3689-1549278000-1549281600@math.ua.edu
SUMMARY:Analysis Seminar - Christoph Fischbacher\, University of Alabama at Birmingham
DESCRIPTION:Title: Area Laws for the Entanglement in the XXZ spin chain \nAbstract: The question on how to rigorously define and prove Many-Body-Localization (MBL) phenomena has attracted significant interest over the recent years. In this talk\, we will give a physical motivation for the so-called entanglement entropy (EE) and explain why an area law for the EE can be interpreted as a sign of MBL. We then introduce the Heisenberg XXZ spin Hamiltonian\, which is unitarily equivalent to a direct sum of discrete many-particle Schrödinger operators with an attractive potential that energetically favors the formation of clusters of particles. After this\, we present a (log-corrected) area law that works for any state corresponding to a finite but arbitrary number of such clusters. This is joint work with H. Abdul-Rahman (U of Arizona) and G. Stolz (UAB). \n
URL:https://math.ua.edu/event/analysis-seminar-christoph-fischbacher-university-of-alabama-at-birmingham/
LOCATION:346 Gordon Palmer Hall
CATEGORIES:Analysis Seminar,Math Department
ORGANIZER;CN="Kabe%20Moen":MAILTO:kabe.moen at ua.edu
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