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

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

2008-01-19

arxiv.org/abs/0801.3003v1

Phys. Rev. A 77, 012312(2008)

Physics

Quantum Physics

9 pages, 2 tables, 17 figures

Scientific paper

10.1103/PhysRevA.77.012312

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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