Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-02-12
Phys. Rev. A 85, 013637 (2012)
Physics
Condensed Matter
Statistical Mechanics
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Scientific paper
10.1103/PhysRevA.85.013637
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.
Liu Wei-Min
Shen Caiming
Zhang Jian-Min
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