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Quantum-Classical Transition in Nonlinear Dynamical Systems

Habib, Salman and Jacobs, Kurt and Mabuchi, Hideo and Ryne, Robert and Shizume, Kosuke and Sundaram, Bala (2002) Quantum-Classical Transition in Nonlinear Dynamical Systems. Physical Review Letters, 88 (4). Art. No. 040402. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:HABprl02

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Abstract

Viewed as approximations to quantum mechanics, classical evolutions can violate the positive semidefiniteness of the density matrix. The nature of the violation suggests a classification of dynamical systems based on classical-quantum correspondence; we show that this can be used to identify when environmental interaction (decoherence) will be unsuccessful in inducing the quantum-classical transition. In particular, the late-time Wigner function can become positive without any corresponding approach to classical dynamics. In the light of these results, we emphasize key issues relevant for experiments studying the quantum-classical transition.


Item Type:Article
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https://doi.org/10.1103/PhysRevLett.88.040402DOIUNSPECIFIED
Additional Information:©2002 The American Physical Society Received 31 October 2000; revised 6 August 2001; published 8 January 2002 The authors acknowledge helpful discussions with Tanmoy Bhattacharya, Doron Cohen, and Andrew Doherty. The work of B. S. was supported by the National Science Foundation and a grant from the City University of New York. Large-scale numerical simulations were carried out at the Advanced Computing Laboratory (ACL), LANL, and at the National Energy Research Scientific Computing Center (NERSC), LBNL.
Issue or Number:4
Record Number:CaltechAUTHORS:HABprl02
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:HABprl02
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2268
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:20 Mar 2006
Last Modified:02 Oct 2019 22:51

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