Daniel W Hook

Dorje C Brody

Khinchin A I

Lane P Hughston

Markus L

Schrödinger E

Journal of Physics A Mathematical and Theoretical

arXiv

This 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

Brody, D C

Hook, D W

Hughston, L P

Goldsmiths Research Online

Unitarity, Ergodicity and Quantum Thermodynamics

Brody, DC

Hook, DW

Hughston, LP

Spiral - Imperial College Digital Repository

Unitarity, ergodicity and quantum thermodynamics

Crossref

Unitarity, ergodicity and quantum thermodynamics

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Goldsmiths Research Online

Spiral - Imperial College Digital Repository

Crossref