arXiv:0911.2110 [quant-ph]AbstractReferencesReviewsResources
Emergence of canonical ensembles from pure quantum states
Published 2009-11-11, updated 2010-04-27Version 3
We consider a system weakly interacting with a bath as a thermodynamic setting to establish a quantum foundation of statistical physics. It is shown that even if the composite system is initially in an arbitrary nonequilibrium pure quantum state, the unitary dynamics of a generic weak interaction almost always drives the subsystem into the canonical ensemble, in the usual sense of typicality. A crucial step is taken by assuming that the matrix elements of the interaction Hamiltonian have random phases, while their amplitudes are left unrestricted.
Journal: Phys. Rev. Lett. 104, 170402 (2010)
Categories: quant-ph, cond-mat.stat-mech
Keywords: canonical ensemble, arbitrary nonequilibrium pure quantum state, generic weak interaction, unitary dynamics, composite system
Tags: journal article
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