Classical predictability and coarse-grained evolution of the quantum baker's map

Journal Article · Thu Jun 15 00:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.125009· OSTI ID:20774932

Scherer, Artur; Soklakov, Andrei N; Schack, Ruediger ^[1]

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1. Department of Mathematics, Royal Holloway, University of London, Egham, Surrey TW20 0EX (United Kingdom)

We investigate how classical predictability of the coarse-grained evolution of the quantum baker's map depends on the character of the coarse-graining. Our analysis extends earlier work by Brun and Hartle [Phys. Rev. D 60, 123503 (1999)] to the case of a chaotic map. To quantify predictability, we compare the rate of entropy increase for a family of coarse-grainings in the decoherent histories formalism. We find that the rate of entropy increase is dominated by the number of scales characterizing the coarse-graining.

• OSTI ID: 20774932
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 12; Other Information: DOI: 10.1103/PhysRevD.73.125009; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHAOS THEORY
COMPARATIVE EVALUATIONS
ENTROPY
EVOLUTION
MAPS
QUANTUM FIELD THEORY