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arXiv · quant-ph/0511215

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

Artur Scherer·Andrei N. Soklakov·Ruediger Schack
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Abstract

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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Artur Scherer, Andrei N. Soklakov, Ruediger Schack. 2005-11-22. Classical predictability and coarse-grained evolution of the quantum baker's map. https://doi.org/10.1103/physrevd.73.125009

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