Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series LPTMS
Subjects cond-mat.stat-mech
Date Tuesday 21 June 2022
Time 11:00
Institute LPTMS
Seminar Room Salle des séminaires du FAST et du LPTMS, bâtiment Pascal n°530
Speaker's Last Name Znidaric
Speaker's First Name Marko
Speaker's Email Address
Speaker's Institution University of Ljubljana
Title Non-Hermitian phantoms
Abstract Describing full unitary dynamics of a many-body system is difficult and also unpractical. Focusing on a coarse-grained dynamics, or few select smooth observables, often results in a more compact non-unitary evolution. Studying bipartite entanglement dynamics in random circuits one can derive a Markovian 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 phantom eigenvalue that is not in the spectrum of any finite transfer matrix. Resolution of this seeming paradox will involve a spectrum that is completely discontinuous in the thermodynamic limit. When dealing with finite non- Hermitian matrices it can turn out that being exact is actually wrong, while being slightly wrong is correct.
arXiv Preprint Number
Comments For zoom info, please write to valentina.ros@universite-paris-saclay.fr or check LPTMS website
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