Entanglement generation in uniformly accelerating atoms: Reexamination of the Unruh effect

Mathematics – Probability

Scientific paper

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Decoherence, Open Systems, Quantum Statistical Methods, Entanglement Production, Characterization, And Manipulation, Quantum Field Theory In Curved Spacetime

Scientific paper

The master equation describing the completely positive time evolution of a uniformly accelerated two-level system in weak interaction with a scalar field in the Minkowski vacuum is derived and explicitly solved. The moving system is found to be subjected to dissipation that drives its density matrix to a purely thermal equilibrium state, exhibiting a nonvanishing probability of spontaneous excitation, this phenomenon being usually referred to as the Unruh effect. Remarkably, when the uniformly accelerating system is composed by two, independent two-level atoms, the corresponding asymptotic, equilibrium state turns out to be entangled.

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