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• W2016041606 abstract "The conditions of quantum-classical correspondence for a system of two interacting spins are investigated. Differences between quantum expectation values and classical Liouville averages are examined for both regular and chaotic dynamics well beyond the short-time regime of narrow states. We find that quantum-classical differences initially grow exponentially with a characteristic exponent consistently larger than the largest Lyapunov exponent. We provide numerical evidence that the time of the break between the quantum and classical predictions scales as $mathrm{log}(mathcal{J}/ensuremath{Elzxh}),$ where $mathcal{J}$ is a characteristic system action. However, this logarithmic break-time rule applies only while the quantum-classical deviations are smaller than $O(ensuremath{Elzxh}).$ We find that the quantum observables remain well approximated by classical Liouville averages over long times even for the chaotic motions of a few degree-of-freedom system. To obtain this correspondence it is not necessary to introduce the decoherence effects of a many degree-of-freedom environment." @default.
• W2016041606 created "2016-06-24" @default.
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• W2016041606 date "2001-04-13" @default.
• W2016041606 modified "2023-09-26" @default.
• W2016041606 title "Characteristics of quantum-classical correspondence for two interacting spins" @default.
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• W2016041606 doi "https://doi.org/10.1103/physreva.63.052103" @default.
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