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

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

2005-11-22

arxiv.org/abs/quant-ph/0511215v1

Phys. Rev. D 73, 125009 (2006)

Physics

Quantum Physics

28 pages, 1 figure

Scientific paper

10.1103/PhysRevD.73.125009

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 characterising the coarse-graining.

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