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SUMMARY:Entanglement and thermodynamics in out-of-equilibrium systems - Vi
 ncenzo Alba
DTSTART:20171026T131500Z
DTEND:20171026T141500Z
UID:TALK75391@talks.cam.ac.uk
CONTACT:Gareth Conduit
DESCRIPTION:Entanglement and entropy are key concepts standing at the foun
 dations of quantum and statistical mechanics\, respectively. In the last d
 ecade the study of quantum quenches revealed that these two concepts are i
 ntricately intertwined. Although the unitary time evolution ensuing from a
  pure initial state maintains the system globally at zero entropy\, at lon
 g time after the quench local properties are captured by an appropriate st
 atistical ensemble with non zero thermodynamic entropy\, which can be inte
 rpreted as the entanglement accumulated during the dynamics. Therefore\, u
 nderstanding the post-quench entanglement evolution unveils how thermodyna
 mics emerges in isolated quantum systems. An exact computation of the enta
 nglement dynamics has been provided only for non-interacting systems\, and
  it was believed to be infeasible for genuinely interacting models. Conver
 sely\, here we show that the standard quasi-particle picture of the entang
 lement evolution\, complemented with integrability-based knowledge of the 
 asymptotic state\, leads to a complete analytical understanding of the ent
 anglement dynamics in the space-time scaling limit. Our framework requires
  only knowledge about the steady state\, and the velocities of the low-lyi
 ng excitations around it.\n
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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