Phys. Rev. D 73, 125009 (2006) [14 pages]Classical predictability and coarse-grained evolution of the quantum baker’s mapReceived 23 November 2005; published 9 June 2006 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. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.73.125009
DOI:
10.1103/PhysRevD.73.125009
PACS:
03.65.Ta, 03.65.Db
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