Non-Markovian entanglement dynamics of noisy continuous variable quantum channels

Abstract

We investigate the entanglement dynamics of continuous-variable quantum channels in terms of an entangled squeezed state of two cavity fields in a general non-Markovian environment. Using the Feynman-Vernon influence functional theory in the coherent-state representation, we derive an exact master equation with time-dependent coefficients reflecting the non-Markovian influence of the environment. The influence of environments with different spectral densities, e.g., Ohmic, sub-Ohmic, and super-Ohmic, is numerically studied. The non-Markovian process shows its remarkable influences on the entanglement dynamics due to the sensitive time-dependence of the dissipation and noise functions within the typical time scale of the environment. The Ohmic environment shows a weak dissipation-noise effect on the entanglement dynamics, while the sub-Ohmic and super-Ohmic environments induce much more severe noise. In particular, the memory of the system interacting with the environment contributes a strong decoherence effect to the entanglement dynamics in the super-Ohmic case.

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Cited by in corpus (10)

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• Environment-induced two-mode entanglement in quantum Brownian motion
• Sudden death and birth of entanglement beyond the Markovian approximation
• Non-Markovian Dynamics and Entanglement in Quantum Brownian Motion
• Entanglement oscillation and survival induced by non-Markovian decoherence dynamics of entangled squeezed-state
• Non-Markovian decoherence dynamics of entangled coherent states
• Exact wave-packet decoherence dynamics in a discrete spectrum environment