Emergence of canonical ensembles from pure quantum states

Details Emergence of canonical ensembles from pure quantum states Emergence of canonical ensembles from pure quantum states

2009-11-11

arxiv.org/abs/0911.2110v3

Phys. Rev. Lett. 104, 170402 (2010)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevLett.104.170402

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.

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