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SUMMARY:Joint ICTP/SISSA Condensed Matter Seminar: Two-step relaxation in
many-body systems
DTSTART;VALUE=DATE-TIME:20221129T103000Z
DTEND;VALUE=DATE-TIME:20221129T113000Z
DTSTAMP;VALUE=DATE-TIME:20230205T151642Z
UID:indico-event-10136@ictp.it
DESCRIPTION:\n Marko Znidaric \n (University of Ljubljana)\n \n Abstract
:\n\n Describing full unitary dynamics of a many-body system is difficult
and also unpractical. Focusing on a coarse-grained dynamics or few select
observables often results in a more compact non-unitary evolution. Studyin
g bipartite entanglement dynamics in random circuits one can derive a Mark
ovian transfer matrix description that harbors rather intriguing many-body
non-Hermitian physics. The speed of generating entanglement is not given
by the 2nd largest eigenvalue of the transfer matrix\, but rather by a pha
ntom eigenvalue -- an eigenvalue that is not in the spectrum of any finite
transfer matrix. Resolution of this paradox will lead to a pseudospectrum
and a realization that\, when dealing with finite non-Hermitian matrices
it can be that being exact is actually wrong\, while being slightly wrong
is correct.\n\n Zoom registration link:https://zoom.us/meeting/register/tJ
AqceGsqzssE9zHrcmx1R6R9eHnspriTLn8\n \n\n//indico.ictp.it/event/10136/
LOCATION:Hybrid Seminar Luigi Stasi Seminar Room + Zoom
URL://indico.ictp.it/event/10136/
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