Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-LPTM-UCP
Subjects math-ph
Date Thursday 6 February 2020
Time 14:00
Institute LPTM
Seminar Room 4.13 St Martin II
Speaker's Last Name Craps
Speaker's First Name Ben
Speaker's Email Address
Speaker's Institution Theoretical Physics (TENA), Vrije Universiteit Brussel, Belgique
Title Quantum chaos, thermalization and holography
Abstract Classical chaos refers to exponential sensitivity of phase-space trajectories to small changes in initial conditions. It is not straightforward to extend this notion to quantum systems, which undergo linear evolution and moreover do not exhibit precise phase space trajectories. One possible way to define quantum chaos is via statistical properties of energy levels, which have been related to those of random matrices. Recently, motivated by studies of black holes, exponential growth of out-of-time-order correlators has received a lot of attention as another possible diagnostic of quantum chaos, and an upper bound on the corresponding “Lyapunov exponent” has been obtained. Chaos is closely related to the thermalization of isolated quantum systems. Via holography, quantum chaos is reflected in the physics of black holes, which are dual to thermal states. In the same way, the study of black hole formation has given a new handle on the thermalization of strongly correlated systems. This talk contains a review of these ideas as well as brief discussions of some recent projects in our group.
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