Séminaire du LPTMS : Andrea De Luca (LPTM)

Universal out-of-equilibrium dynamics of 1D noisy critical quantum systems

Andrea de Luca (Laboratoire de Physique Théorique et Modélisation)

** ZOOM SEMINAR**  (ID: 965 3800 3966, Pw: Y8TBFQ).

We consider critical one dimensional quantum systems initially prepared in their groundstate and perturbed by a smooth noise coupled to the energy density. By using conformal field theory, we deduce a universal description of the out-of-equilibrium dynamics. In particular, the full time-dependent distribution of any 2-pt chiral correlation function can be obtained from solving two coupled ordinary stochastic differential equations. In contrast with the general expectation of heating, we demonstrate that the system reaches a non-trivial and universal stationary state characterized by broad distributions. As an example, we analyse the local energy density: while its first moment diverges exponentially fast in time, the stationary distribution, which we derive analytically, is symmetric around a negative median and exhibits a fat tail with 3/2 decay exponent. We obtain a similar result for the entanglement entropy production associated to a given interval of size l. The corresponding stationary distribution has a 3/2 right tail for all l, and converges to a one-sided Levy stable for large l.
Our results are benchmarked via analytical and numerical calculations for a chain of non-interacting spinless fermions with excellent agreement.

Date/Time : 30/11/2021 - 11:00 - 12:00

Location : Salle des séminaires du FAST et du LPTMS, bâtiment Pascal n°530

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