Reference : Dynamical thermalization in Bose-Hubbard systems
Scientific congresses and symposiums : Unpublished conference/Abstract
Physical, chemical, mathematical & earth Sciences : Physics
Dynamical thermalization in Bose-Hubbard systems
Schlagheck, Peter mailto [Université de Liège > Département de physique > Physique quantique statistique >]
Shepelyansky, Dima L. []
DPG-Frühjahrstagung (spring meeting)
6 - 11 March 2016
Deutsche Physikalische Gesellschaft
[en] 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.

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