Unitarity, ergodicity, and quantum thermodynamics

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dc.creatorBrody, Dorje C.
dc.creatorHook, Daniel W.
dc.creatorHughston, Lane P.
dc.date2007-02-01
dc.date2007-06-13
dc.date.accessioned2026-07-07T10:38:49Z
dc.date.available2026-07-07T10:38:49Z
dc.descriptionThis paper is concerned with the ergodic subspaces of the state spaces of isolated quantum systems. We prove a new ergodic theorem for closed quantum systems which shows that the equilibrium state of the system takes the form of a grand canonical density matrix involving a complete commuting set of observables including the Hamiltonian. The result obtained, which is derived for a generic finite-dimensional quantum system, shows that the equilibrium state arising from unitary evolution is always expressible in the canonical form, without the consideration of a system-bath decomposition.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0702009
dc.identifierhttp://arxiv.org/abs/quant-ph/0702009
dc.identifierJ.Phys.A40:F503-F510,2007
dc.identifierdoi:10.1088/1751-8113/40/26/F01
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180855
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleUnitarity, ergodicity, and quantum thermodynamics
dc.typetext

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