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Intrinsic decoherence dynamics in smooth Hamiltonian systems: Quantum-classical correspondence

Intrinsic decoherence dynamics in smooth Hamiltonian systems: Quantum-classical correspondence A direct classical analog of the quantum dynamics of intrinsic decoherence in Hamiltonian systems, characterized by the time dependence of the linear entropy of the reduced density operator, is introduced. The similarities and differences between the classical and quantum decoherence dynamics of an initial quantum state are exposed using both analytical and computational results. In particular, the classicality of early-time intrinsic decoherence dynamics is explored analytically using a second-order perturbative treatment, and an interesting connection between decoherence rates and the stability nature of classical trajectories is revealed in a simple approximate classical theory of intrinsic decoherence dynamics. The results offer deeper insights into decoherence, dynamics of quantum entanglement, and quantum chaos. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Intrinsic decoherence dynamics in smooth Hamiltonian systems: Quantum-classical correspondence

Physical Review A , Volume 68 (2) – Aug 1, 2003
8 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 2003 The American Physical Society
ISSN
1094-1622
DOI
10.1103/PhysRevA.68.022101
Publisher site
See Article on Publisher Site

Abstract

A direct classical analog of the quantum dynamics of intrinsic decoherence in Hamiltonian systems, characterized by the time dependence of the linear entropy of the reduced density operator, is introduced. The similarities and differences between the classical and quantum decoherence dynamics of an initial quantum state are exposed using both analytical and computational results. In particular, the classicality of early-time intrinsic decoherence dynamics is explored analytically using a second-order perturbative treatment, and an interesting connection between decoherence rates and the stability nature of classical trajectories is revealed in a simple approximate classical theory of intrinsic decoherence dynamics. The results offer deeper insights into decoherence, dynamics of quantum entanglement, and quantum chaos.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Aug 1, 2003

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