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SUMMARY:Ergodicity\, entanglement\, and many-body localization
DTSTART:20160226T141500
DTSTAMP:20260510T135542Z
UID:a1e1b0958b775b6437e99fcc213a8e83d888e0c63b03f839fd1b6226
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dmitry Abanin\nDepartment of Theoretical Physics\, University 
 of Geneva\nWe are used to describing systems of many particles by statisti
 cal mechanics. However\, recently it was realized that the basic postulate
  of statistical mechanics – ergodicity -- breaks down in so-called many-
 body localized systems\, where disorder prevents particle transport and th
 ermalization. In this talk\, I will describe a recent theory of the many-b
 ody localized (MBL) phase\, based on new insights from quantum entanglemen
 t. I will argue that\, in contrast to ergodic systems\, MBL eigenstates ar
 e not highly entangled\, but rather obey so-called area law\, typical of g
 round states in gapped systems. I will use this fact to show that MBL phas
 e is characterized by an infinite number of emergent local conservation la
 ws\, in terms of which the Hamiltonian acquires a universal form. Turning 
 to the experimental implications\, I will show that MBL systems exhibit a 
 universal response to quantum quenches: surprisingly\, entanglement shows 
 logarithmic in time growth\, reminiscent of glasses\, while local observab
 les exhibit power-law approach to “equilibrium” values. I will also di
 scuss the transition betweenmany-body localized and ergodic phases\, as we
 ll as other recent developments in exploring ergodicty and its breaking in
  quantum many-body systems.
LOCATION:CE 1 5 https://plan.epfl.ch/?room==CE%201%205
STATUS:CONFIRMED
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