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SUMMARY:Quantum Thermalization Dynamics - Prof. Dr. Frank Pollmann\, Techn
 ische Universität München
DTSTART:20180426T131500Z
DTEND:20180426T141500Z
UID:TALK100579@talks.cam.ac.uk
CONTACT:Bartomeu Monserrat
DESCRIPTION:The past decade has seen a great interest in the question abou
 t whether and how quantum many-body system locally thermalize. It has been
  driven by theoretical findings involving the long sought demonstration th
 at many-body localization (MBL) exists as well as the derivation of exact 
 bounds on chaos. In my talk\, I will introduce matrix-product state (MPS) 
 based methods that allow for an efficient numerical simulation of the quan
 tum thermalization dynamics. Firstly\, I will show that\, contrary to the 
 common belief that the rapid growth of entanglement restricts simulations 
 to short times\, the long time limit of local observables can be well capt
 ured using the MPS based time-dependent variational principle. Secondly\, 
 I will consider 1D spin-chains evolving under random local unitary circuit
 s and prove a number of exact results. These results follow from the obser
 vation that the spreading of operators in random circuits is described by 
 a ``hydrodynamical’’ equation of motion. 
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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