Thermal equilibrium of two quantum Brownian particles

Abstract

The influence of the environment in the thermal equilibrium properties of a bipartite continuous variable quantum system is studied. The problem is treated within a system-plus-reservoir approach. The considered model reproduces the conventional Brownian motion when the two particles are far apart and induces an effective interaction between them, depending on the choice of the spectral function of the bath. The coupling between the system and the environment guarantees the translational invariance of the system in the absence of an external potential. The entanglement between the particles is measured by the logarithmic negativity, which is shown to monotonically decrease with the increase of the temperature. A range of finite temperatures is found in which entanglement is still induced by the reservoir.

8 pages, 1 figure

References in corpus (5)

• Dynamics of the entanglement between two oscillators in the same environment
• Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
• Environment-induced two-mode entanglement in quantum Brownian motion
• Effective coupling between two Brownian particles
• Effective Quantum Dynamics of two Brownian particles

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• Over forty years of research towards the understanding of Quantum Brownian Motion -- the contributions of A. O. Caldeira