Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 42: Focus: Many-Body Quantum Chaos

DY 42.10: Invited Talk

Thursday, April 4, 2019, 12:30–13:00, H20

Semiclassical approach in Bose-Hubbard models: from universal spectral statistics to far-out-of-equilibrium dynamics — •Remy Dubertrand — Institut für Theoretische Physik Universität Regensburg Universitätsstraße 31 D-93053 Regensburg

Semiclassical techniques from quantum chaos have been recently generalised to describe many-body interacting bosonic systems written as second quantised models. To understand the emergence of new phenomena due to many-body coherent effects I will first motivate how to build a quantum/classical correspondence, and how to follow the semiclassical program from there. This will be used first to state when universal spectral and eigenstate statistics appear in Bose-Hubbard models. This involves more precisely the connection with Random Matrix Theory and Berry's ansatz of random superpositions of Fock states respectively. A second, more recent application aims at studying the far-out-of-equilibrium dynamics of interacting cold atom systems, where the semiclassical perspective enables one to identify a dramatic change of the dynamical regime using both classical probes (well beyond the truncated Wigner range of validity) and quantum signatures.