Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 4: Dynamics in many-body systems: Equilibriation and localization (joint session DY/TT)

DY 4.1: Vortrag

Montag, 7. März 2016, 09:30–09:45, H47

Dynamical thermalization in Bose-Hubbard systems — •Peter Schlagheck¹ and Dima L. Shepelyansky² — ¹Département de Physique, Université de Liège, Belgium — ²Laboratoire de Physique Théorique du CNRS, IRSAMC, Université de Toulouse UPS, France

A bosonic many-body system can exhibit the Bose-Einstein distribution in its single-particle eigenstates not only if it is coupled to a heat and particle reservoir, but also if it is subject to a two-body interaction of moderately low strength which couples the single-particle eigenstates with each other. We numerically verify this dynamical thermalization conjecture within disordered Bose-Hubbard rings of finite size whose parameters are chosen such that the dynamics of the system can be expected to be ergodic [1]. This allows one to associate with each many-body eigenstate of the Bose-Hubbard system well-defined (positive or negative) values for the effective temperature and the effective chemical potential which depend on the energy per particle of the eigenstate under consideration [1]. With this information one can then predict the populations of single-particle eigenmodes within each many-body eigenstate of the system according to the Bose-Einstein distribution, without knowing more details about the quantum dynamics of the many-body system.

[1] P. Schlagheck and D. L. Shepelyansky, arXiv:1510.01864.