Quantum-classical correspondence in entanglement production: Entropy and classical tori
arXiv:0801.3003 · doi:10.1103/PhysRevA.77.012312
Abstract
We analyze the connections between entanglement dynamics and classical trajectories in a semiclassi-cal regime for two systems: A pair of coupled oscillators and the Jaynes-Cummings model. We find that entanglement production depends on classical invariant tori and such phenomenon is closely related to the power spectra of classical trajectories. Classical power spectrum with a larger number of frequency com-ponents corresponds to larger entanglement. We introduce a frequency entropy to describe the classical frequency distribution, and find that there is good correspondence between the classical frequency entro-pies and the maximum von Neumann entropies.
9 pages, 2 tables, 17 figures
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