Quantum thermal equilibration from microcanonical equipartition

Details Quantum thermal equilibration from microcanonical equipartition Quantum thermal equilibration from microcanonical equipartition

2011-07-29

arxiv.org/abs/1107.6013v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

The problem of mutual equilibration between two finite quantum systems, A and B, prepared initially at different temperatures is elucidated. The energy exchange between the two systems is mediated by a weak interaction. We predict that the sole assumption of microcanonical equipartition inside the energy shells of the total composite system, A \otimes B is sufficient to obtain a relaxation of the halves, A and B, towards common thermal-like states at the same `equilibrium' temperature. This conjecture is fully corroborated by an exact diagonalization procedure for three different classes of quantum Hamiltonians.

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