Quantum and classical correlations in quantum Brownian motion

Abstract

We investigate the entanglement properties of the joint state of a distinguished quantum system and its environment in the quantum Brownian motion model. This model is a frequent starting point for investigations of environment-induced superselection. Using recent methods from quantum information theory, we show that there exists a large class of initial states for which no entanglement will be created at all times between the system of salient interest and the environment. If the distinguished system has been initially prepared in a pure Gaussian state, then entanglement is created immediately, regardless of the temperature of the environment and the non-vanishing coupling.

4 pages, 1 figure, revised version, new material added, title changed

References in corpus (8)

• A computable measure of entanglement
• Introducing Quantum Discord
• Thermalizing Quantum Machines: Dissipation and Entanglement
• Subsystem Purity as an Enforcer of Entanglement
• Separability Criterion for all bipartite Gaussian States
• Distillability Criterion for all Bipartite Gaussian States
• On the quantification of entanglement in infinite-dimensional quantum systems
• Conditions for the local manipulation of Gaussian states

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