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SUMMARY:Eigenstate thermalization\, quantum designs and free probability -
  Jorge Kurchan (Ecole Normale Superieure\, lpens\, Paris\, France)
DTSTART:20230914T130000Z
DTEND:20230914T140000Z
UID:TALK204229@talks.cam.ac.uk
CONTACT:Bo Peng
DESCRIPTION:The Eigenstate Thermalization Hypothesis needs to be completed
  to take into account higher correlators\, for example to compute out of t
 ime order operators (OTOCs). Once this is done\, a Pandora's box of contri
 butions is opened. As it turns out\, the instrument for organizing this ha
 s been around for a few decades: it is the technique of Free Probability. 
 Once Free Probability is taken on board\, one finds an immediate connectio
 n with Unitary Designs\, a construction of a set of unitary matrices that 
 can be taken as a proxy for the whole unitary group\, a subject that has a
 ttracted considerable interest in quantum information.
LOCATION:TCM Seminar Room
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