Quantum entropy dynamics for chaotic systems beyond the classical limit

The entropy production rate for an open quantum system with a classically chaotic limit has been previously argued to be independent of h 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-c...

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Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 75; no. 3 Pt 2; p. 036221
Main Authors Gammal, Arnaldo, Pattanayak, Arjendu K
Format Journal Article
LanguageEnglish
Published United States 01.03.2007
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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 h 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 h,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 h2/D.
AbstractList The entropy production rate for an open quantum system with a classically chaotic limit has been previously argued to be independent of h 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 h,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 h2/D.
Author Gammal, Arnaldo
Pattanayak, Arjendu K
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  givenname: Arjendu K
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crossref_primary_10_1103_PhysRevE_81_016212
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