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SUMMARY:Out of equilibrium dynamics and a unifying view on many-body local
 isation - Jens Eisert (Freie Universität Berlin)
DTSTART:20160115T150000Z
DTEND:20160115T160000Z
UID:TALK64639@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The phenomenon of many-body localisation received a lot of att
 ention recently\, both for its implications in condensed-matter physics of
  allowing systems to be an insulator even at non-zero temperature as well 
 as - maybe most importantly - in the context of the foundations of quantum
  statistical mechanics\, providing examples of systems showing the absence
  of thermalisation following out-of-equilibrium dynamics. Still\, it seems
  fair to say that many aspects of it are still unsatisfactorily understood
 .<br><br>In this talk\, following an introduction into recent progress on 
 thermalisation of closed quantum systems\, I will make the attempt to brin
 g together several aspects of the phenomenology of many-body localisation\
 , attaining new insights into the connections between seemingly unrelated 
 features. Ideas of entanglement area laws\, Lieb-Robinson bounds\, filter 
 functions\, approximately local constants of motion\, transport\, and tens
 or networks will feature strongly. We will discuss experimentally accessib
 le witnesses of many-body localisation in cold atomic quantum simulators.<
 br><span><br>[1] Quantum many-body systems out of equilibrium    Nature Ph
 ysics 11\, 124 (2015) [2] Equilibration\, thermalisation\, and the emergen
 ce of     statistical mechanics in closed quantum systems    Phys. Rep.\, 
 in press (2015) [3] Many-body localization implies that eigenvectors are  
    matrix-product states    Phys. Rev. Lett. 114\, 170505 (2015) [4] Local
  constants of motion imply information propagation    New J. Phys. 17\, 11
 3054 (2015)  [5] Absence of thermalization in non-integrable systems    Ph
 ys. Rev. Lett. 106\, 040401 (2011) [6] Total correlations of the diagonal 
 ensemble herald the     many-body localisation transition    Phys. Rev. B 
 92\, 180202(R) (2015) [7] Experimentally accessible witnesses of many-body
  localisation    In preparation (2015)</span>
LOCATION:Seminar Room 1\, Newton Institute
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