Abstract
Within the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we determine the degree of quantum decoherence of a harmonic oscillator interacting with a thermal bath. It is found that the system manifests a quantum decoherence which is more and more significant in time. We also calculate the decoherence time and show that it has the same scale as the time after which thermal fluctuations become comparable with quantum fluctuations. We solve the master equation for two independent harmonic oscillators interacting with an environment in the asymptotic long-time regime. We give a description of the continuous-variable asymptotic entanglement in terms of the covariance matrix of quantum states of the considered system for an arbitrary Gaussian input state. Using the Peres-Simon necessary and sufficient condition for separability of two-mode Gaussian states, we show that the two noninteracting systems immersed in a common environment become asymptotically entangled for certain environments, so that in the long-time regime they manifest nonlocal quantum correlations.
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Manuscript submitted by the author in English on 13 August 2007.
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Isar, A. Decoherence and asymptotic entanglement in open quantum dynamics. J Russ Laser Res 28, 439–452 (2007). https://doi.org/10.1007/s10946-007-0033-4
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DOI: https://doi.org/10.1007/s10946-007-0033-4