Thermalization and ergodicity in many-body open quantum systems

Details Thermalization and ergodicity in many-body open quantum systems Thermalization and ergodicity in many-body open quantum systems

2009-10-06

arxiv.org/abs/0910.1075v2

Phys. Rev. E 81, 051135 (2010)

Physics

Quantum Physics

4 pages, 4 figures; v2. one new figure

Scientific paper

10.1103/PhysRevE.81.051135

We study thermalization in many-body quantum systems locally coupled to an external bath. It is shown that quantum chaotic systems do thermalize, that is, they exhibit relaxation to an invariant ergodic state which, in the bulk, is well approximated by the grand canonical state. Moreover, the resulting ergodic state in the bulk does not depend on the details of the baths. On the other hand, for integrable systems the invariant state does depend on the bath and is different from the grand canonical state.

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