The influence of dissipation on the quantum-classical correspondence: Stability of stochastic trajectories
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Author(s) •
Kryvohuz, Maksym
Cao, Jianshu
Date Issued
June 2009
Journal
Journal of Chemical Physics
Publisher
American Institute of Physics
Citation
Kryvohuz, Maksym, and Jianshu Cao. “The Influence of Dissipation on the Quantum-classical Correspondence: Stability of Stochastic Trajectories.” The Journal of Chemical Physics 130.23 (2009) : 234107. © 2009 American Institute of Physics
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Final published version
Abstract
The quantum-classical correspondence in the presence of dissipation is studied. The semiclassical expression for the linear response function of an anharmonic system is expressed in a series containing classical stability matrix elements, which can diverge due to the chaotic behavior of stochastic trajectories. The presence of dissipation in most cases removes the divergence of higher-order correction terms, thus suppressing quantum effects and making the system more classical. The regime of system-bath coupling, which makes quantum dynamics completely classical, is obtained in terms of friction, temperature, and anharmonicity. Special cases when bath coupling may lead to enhancement of quantum effects are discussed.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1063/1.3154142