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

Artur Scherer*, Andrei N. Soklakov, Rüdiger Schack

*Corresponding author for this work

Research output: Contribution to journalArticle

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 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.

Original languageEnglish
Article number125009
Pages (from-to)1-14
Number of pages14
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume73
Issue number12
DOIs
Publication statusPublished - 2006
Externally publishedYes

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