Entropy production due to coupling to a heat bath in the kicked rotor problem

Details Entropy production due to coupling to a heat bath in the kicked rotor problem Entropy production due to coupling to a heat bath in the kicked rotor problem

2001-08-22

arxiv.org/abs/quant-ph/0108099v1

Physics

Quantum Physics

9 pages, 5 .eps figures, Latex

Scientific paper

10.1016/S0375-9601(01)00746-0

Considering a kicked rotor coupled to a model heat bath both the classical and quantum entropy productions are calculated exactly. Starting with an initial wave packet, the von Neuman entropy as a function of time is determined from the reduced density matrix while the Liouville evolution of the corresponding Husimi distribution provides us with the classical entropy. It is found that both these entropies agree reasonably satisfying the same asymptotic growth law and more importantly both are proportional to the classical Liapounov exponent.

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