Non-Markovian entanglement dynamics of quantum continuous variable systems in thermal environments

Abstract

We study two continuous variable systems (or two harmonic oscillators) and investigate their entanglement evolution under the influence of non-Markovian thermal environments. The continuous variable systems could be two modes of electromagnetic fields or two nanomechanical oscillators in the quantum domain. We use quantum open system method to derive the non-Markovian master equations of the reduced density matrix for two different but related models of the continuous variable systems. The two models both consist of two interacting harmonic oscillators. In model A, each of the two oscillators is coupled to its own independent thermal reservoir, while in model B the two oscillators are coupled to a common reservoir. To quantify the degrees of entanglement for the bipartite continuous variable systems in Gaussian states, logarithmic negativity is used. We find that the dynamics of the quantum entanglement is sensitive to the initial states, the oscillator-oscillator interaction, the oscillator-environment interaction and the coupling to a common bath or to different, independent baths.

10 two-column pages, 8 figures, to appear in Phys. Rev. A

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• Non-Markovian disentanglement dynamics of two-qubit system
• Environment-induced two-mode entanglement in quantum Brownian motion
• Non-Markovian entanglement dynamics between two coupled qubits in the same environment
• Division of the two-qubit Hilbert space according to the entanglement sudden death under composite noise environment
• Non-Markovian Dynamics and Entanglement in Quantum Brownian Motion
• Entanglement oscillation and survival induced by non-Markovian decoherence dynamics of entangled squeezed-state
• Dependence of the decoherence of polarization states in phase-damping channels on the frequency spectrum envelope of photons
• Nanomechanical-resonator-assisted induced transparency in a Cooper-pair-box system
• Non-Markovian decoherence dynamics of entangled coherent states