Freiburg 2019 – wissenschaftliches Programm
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FM: Fall Meeting
FM 20: Entanglement: Many-Body States II
FM 20.3: Talk
Montag, 23. September 2019, 17:00–17:15, 2004
Semiclassical approach in Bose-Hubbard models: from eigenstate statistics to self trapping dynamics — •Remy Dubertrand1, Mathias Steinhuber1, Juan-Diego Urbina1, Klaus Richter1, and Steve Tomsovic2 — 1Institut für Theoretische Physik Universität Regensburg Universitätsstraße 31 D-93053 Regensburg — 2Department of physics and astronomy, Washington State Univ ersity, Pullman, WA USA
Semiclassical techniques from quantum chaos have been recently generalised to describe many-body interacting bosonic systems written as second quantised models. To understand many-body coherent effects I will motivate how to build a quantum/classical correspondence. This will be used first to describe the eigenstates following a statistical approach. This involves more precisely the connection with Berry's ansatz of ensembles of eigenstates represented by Gaussian distributions with an universal covariance matrix. In particular this allows us to go beyond the naive Random Matrix Theory's approximation. A second, more recent, application aims at studying the far from equilibrium dynamics, where the semiclassical perspective enables one to fully characterise the self trapping transition (well beyond the truncated Wigner range of validity) using quantum signatures, e.g. entanglement properties of the eigenstates.