Entanglement oscillations in non-Markovian quantum channels

Abstract

We study the non-Markovian dynamics of a two-mode bosonic system interacting with two uncorrelated thermal bosonic reservoirs. We present the solution to the exact microscopic Master equation in terms of the quantum characteristic function and study in details the dynamics of entanglement for bipartite Gaussian states. In particular, we analyze the effects of short-time system-reservoir correlations on the separability thresholds and show that the relevant parameter is the reservoir spectral density. If the frequencies of the involved modes are within the reservoir spectral density entanglement persists for a longer time than in a Markovian channel. On the other hand, when the reservoir spectrum is out of resonance short-time correlations lead to a faster decoherence and to the appearance of entanglement oscillations.

5 pages, 2 figures, published version

References in corpus (15)

• Separability Criterion for Density Matrices
• Decoherence, einselection, and the quantum origins of the classical
• Peres-Horodecki separability criterion for continuous variable systems
• Exact time evolution and master equations for the damped harmonic oscillator
• Alternative Derivation of the Hu-Paz-Zhang Master Equation for Quantum Brownian Motion
• Exact solution of the Hu-Paz-Zhang master equation
• Quantifying decoherence in continuous variable systems
• Lindblad and non--Lindblad type dynamics of a quantum Brownian particle
• Density matrix operatorial solution of the non--Markovian Master Equation for Quantum Brownian Motion
• Optimized teleportation in Gaussian noisy channels
• Simulating quantum Brownian motion with single trapped ions
• Misbelief and misunderstandings on the non--Markovian dynamics of a damped harmonic oscillator
• The rotating wave system-reservoir coupling: limitations and meaning in the non-Markovian regime
• Quantum theory of heating of a single trapped ion
• Degradation of continuous variable entanglement in a phase-sensitive environment

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