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SUMMARY:Quantum and Classical Dynamics with Random Permutation Circuits - 
 Katja Klobas\, University of Birmingham
DTSTART:20241107T140000Z
DTEND:20241107T153000Z
UID:TALK220855@talks.cam.ac.uk
CONTACT:Gaurav
DESCRIPTION:Understanding thermalisation in quantum many-body systems is a
 mong the most enduring problems in modern physics. A particularly interest
 ing question concerns the role played by quantum mechanics in this process
 \, i.e. whether thermalisation in quantum many-body systems is fundamental
 ly different from that in classical many-body systems and\, if so\, which 
 of its features are genuinely quantum. I will talk about a recent work [1]
 \, where we studied this question in minimally structured many-body system
 s which are only constrained to have local interactions\, i.e. local rando
 m circuits. In particular we introduced a class of random permutation circ
 uits\, where the gates locally permute basis states modelling generic micr
 oscopic classical dynamics\, and compared them to random unitary circuits\
 , a standard toy model for generic quantum dynamics. Random permutation ci
 rcuits permit the analyti- cal computation of several key quantities such 
 as out-of-time order correlators\, or entanglement entropies. Remarkably\,
  despite the fundamental differences between unitary and permutation dynam
 ics\, they exhibit qualitatively similar behaviours.\n\n[1] B. Bertini\, K
 . Klobas\, P. Kos and D. Malz\, arXiv:2407.11960 (2024).\n\n
LOCATION:TCM Seminar Room
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