NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2007, Vol.10, No.1, pp.102-104


Quantum Fluctuation Theorem and Non-Gaussian Fluctuation of Relative Entropy Production.
Takaaki Monnai

For a classical system which is out of equilibrium, under the proper definition, the entropy production is shown to satisfy a fluctuation theorem symmetry. In this paper, for an externally driven quantum mechanical system which linearly couples to a harmonic reservoir, the probability density for relative entropy production is explicitly calculated and shown to be non-Gaussian. We reveal that non-Gaussian nature of the relative entropy production is purely quantum-mechanical. From the exact form of probability density of relative entropy production, quantum extension of fluctuation theorem is derived.
Key words: quantum fluctuation theorem, non-Gaussian fluctuation, entropy

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