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arXiv · 0801.3003

Quantum-classical correspondence in entanglement production: Entropy and classical tori

Shi-hui Zhang·Quan-lin Jie
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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.

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Shi-hui Zhang, Quan-lin Jie. 2008-01-19. Quantum-classical correspondence in entanglement production: Entropy and classical tori. https://doi.org/10.1103/physreva.77.012312

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