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SUMMARY:Joint ICTP/SISSA Statistical Physics Seminar: Solvable Minimal Mod
els for Many-body Quantum Chaos
DTSTART;VALUE=DATE-TIME:20190319T100000Z
DTEND;VALUE=DATE-TIME:20190319T110000Z
DTSTAMP;VALUE=DATE-TIME:20190826T072532Z
UID:indico-event-8840@ictp.it
DESCRIPTION:\n I will present a class of models for quantum chaos in a spa
tially extended many-body system. It consists of a chain of sites with nea
rest-neighbour coupling under Floquet time evolution. Quantum states at ea
ch site span a q-dimensional Hilbert space and the time evolution is speci
fied as a random circuit\, whose local gates are random in space but perio
dic in time (Floquet). I will discuss a diagrammatic formalism useful to a
verage over realisations of the random circuit. This approach leads to exa
ct expressions in the large-q limit and sheds light on the universality of
random matrices in many-body quantum spectra and the ubiquitous entanglem
ent growth in out-of-equilibrium dynamics. I will also discuss universal b
ehaviour which goes beyond random matrix theory and the manifestation of e
rgodicity breaking which can emerge at finite q.\n\nhttp://indico.ictp.it/
event/8840/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://indico.ictp.it/event/8840/
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