Regensburg 2019 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 39: Quantum matter: Chaos, correlation
DY 39.1: Talk
Wednesday, April 3, 2019, 17:15–17:30, H6
Quantum signatures of a classical dynamical transition — •Remy Dubertrand1, Mathias Steinhuber1, Juan-Diego Urbina1, Denis Ullmo2, Peter Schlagheck3, Klaus Richter1, and Steve Tomsovic4 — 1Institut für Theoretische Physik Universität Regensburg Universitätsstraße 31 D-93053 Regensburg — 2LPTMS, CNRS, Univ. Paris-Sud, Universite Paris-Saclay, 91405 Orsay, France — 3CESAM research unit, University of Liege, 4000 Liege, Belgium — 4Department of Physics and Astronomy, Washington State University, Pullman, WA 99164-2814, USA
We consider the quantum dynamics of a coherent density wave under Bose-Hubbard model. It was recently shown [1] that the corresponding classical density undergoes a dynamical transition between an ergodic and a nonergodic regime. This is due to a dramatic change of the stability of the associated classical trajectories, when changing the ratio between hopping and onsite interaction energy. We claim in [2] that this dynamical transition can be very clearly seen through purely quantum observables. This provides with a generalisation of the seminal self-trapping transition [3] to higher dimension. A possible way to observe it in a cold-atom experiment is also discussed.
[1] S. Tomsovic, Phys. Rev. E 98, 023301 (2018)
[2] R. Dubertrand, M. Steinhuber, J.-D. Urbina, D. Ullmo, P. Schlagheck, K. Richter, S. Tomsovic, in preparation
[3] J. C. Eilbeck, P. S. Lombdahl, A. C. Scott, Physica D 16, 318 (1985)