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Quantum entropy dynamics for chaotic systems beyond the classical limit

Arnaldo Gammal·Arjendu K. Pattanayak
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Abstract

The entropy production rate for an open quantum system with a classically chaotic limit has been previously argued to be independent of $\hbar$ and $D$, the parameter denoting coupling to the environment, and to be equal to the sum of generalized Lyapunov exponents, with these results applying in the near-classical regime. We present results for a specific system going well beyond earlier work, considering how these dynamics are altered for the Duffing problem by changing $\hbar,D$ and show that the entropy dynamics have a transition from classical to quantum behavior that scales, at least for a finite time, as a function of $\hbar^2/D$.

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Arnaldo Gammal, Arjendu K. Pattanayak. 2007-02-15. Quantum entropy dynamics for chaotic systems beyond the classical limit. https://arxiv.org/abs/quant-ph/0702158

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