Equilibration of quantum systems and subsystems

Details Equilibration of quantum systems and subsystems Equilibration of quantum systems and subsystems

2010-12-21

arxiv.org/abs/1012.4622v1

Physics

Quantum Physics

5 pages

Scientific paper

We unify two recent results concerning equilibration in quantum theory. We first generalise a proof of Reimann [PRL 101,190403 (2008)], that the expectation value of 'realistic' quantum observables will equilibrate under very general conditions, and discuss its implications for the equilibration of quantum systems. We then use this to re-derive an independent result of Linden et. al. [PRE 79, 061103 (2009)], showing that small subsystems generically evolve to an approximately static equilibrium state. Finally, we consider subspaces in which all initial states effectively equilibrate to the same state.

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