Phys. Rev. Lett. 91, 064101 (2003) [4 pages]Classical Decays in Decoherent Quantum MapsReceived 23 January 2003; published 5 August 2003 The linear entropy and the Loschmidt echo have proved to be of interest recently in the context of quantum information and of the quantum to classical transitions. We study the asymptotic long-time behavior of these quantities for open quantum maps and relate the decays to the eigenvalues of a coarse-grained superoperator. In specific ranges of coarse graining, and for chaotic maps, these decay rates are given by the Ruelle-Pollicott resonances of the classical map. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.064101
DOI:
10.1103/PhysRevLett.91.064101
PACS:
05.45.Mt, 03.65.Sq, 03.65.Yz
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.