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Time evolution of entanglement in open quantum systems

AURELIAN ISAR1

Affiliation

  1. Department of Theoretical Physics, National Institute of Physics and Nuclear Engineering P.O.Box MG-6, Magurele, Romania

Abstract

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the continuous-variable entanglement for a system consisting of two uncoupled harmonic oscillators interacting with a thermal environment. Using Peres-Simon necessary and sufficient criterion for separability of two-mode Gaussian states, we show that for some values of diffusion coefficient, dissipation constant and temperature of the environment, the state keeps for all times its initial type: separable or entangled. In other cases, entanglement generation, entanglement sudden death or a periodic collapse and revival of entanglement take place..

Keywords

Quantum entanglement, Open systems.

Submitted at: Dec. 15, 2009
Accepted at: Jan. 20, 2010

Citation

AURELIAN ISAR, Time evolution of entanglement in open quantum systems, Journal of Optoelectronics and Advanced Materials Vol. 12, Iss. 1, pp. 68-73 (2010)