Strong thermalization of the two-component Bose-Hubbard model at finite temperatures
Statistical Mechanics
2013-08-27 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
We study thermalization of a two-component Bose-Hubbard model by exact diagonalization. Initially the two components do not interact and are each at equilibrium but with different temperatures. As the on-site inter-component interaction is turned on, perfect thermalization occurs. Remarkably, not merely those simple "realistic" physical observables thermalize but even the density matrix of the \textit{whole} system---the time-averaged density matrix of the system can be well approximated by that of a canonical ensemble. A conjecture about this fact is put forward.
Keywords
Cite
@article{arxiv.1102.2469,
title = {Strong thermalization of the two-component Bose-Hubbard model at finite temperatures},
author = {J. M. Zhang and C. Shen and W. M. Liu},
journal= {arXiv preprint arXiv:1102.2469},
year = {2013}
}
Comments
The peer-reviewed version is significantly extended