Transient fluctuation theorem in closed quantum systems

Details Transient fluctuation theorem in closed quantum systems Transient fluctuation theorem in closed quantum systems

2011-12-22

arxiv.org/abs/1112.5292v1

Europhys. Lett. 96, 60008 (2011)

Physics

Quantum Physics

5 pages, 6 figures

Scientific paper

10.1209/0295-5075/96/60008

Our point of departure are the unitary dynamics of closed quantum systems as generated from the Schr\"odinger equation. We focus on a class of quantum models that typically exhibit roughly exponential relaxation of some observable within this framework. Furthermore, we focus on pure state evolutions. An entropy in accord with Jaynes principle is defined on the basis of the quantum expectation value of the above observable. It is demonstrated that the resulting deterministic entropy dynamics are in a sense in accord with a transient fluctuation theorem. Moreover, we demonstrate that the dynamics of the expectation value are describable in terms of an Ornstein-Uhlenbeck process. These findings are demonstrated numerically and supported by analytical considerations based on quantum typicality.

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