Quantum entanglement of two-mode continuous variable states in a thermal reservoir

Aurelian Isar

doi:10.1117/12.862060

17 May 2010 Quantum entanglement of two-mode continuous variable states in a thermal reservoir

Aurelian Isar

Proceedings Volume 7469, ROMOPTO 2009: Ninth Conference on Optics: Micro- to Nanophotonics II; 746909 (2010) https://doi.org/10.1117/12.862060
Event: ROMOPTO 2009, 2009, Sibiu, Romania

Abstract

Using the theory of open systems based on completely positive quantum dynamical semigroups, we describe the dynamics of entanglement for a system consisting of two uncoupled harmonic oscillators interacting with a thermal reservoir. Using Peres-Simon necessary and sufficient criterion for separability of two-mode Gaussian states, we describe the evolution of entanglement in terms of the covariance matrix for a Gaussian input state. For some values of the temperature of environment, the state keeps for all times its initial type - separable or entangled. In other cases, entanglement generation, entanglement sudden death or a repeated collapse and revival of entanglement take place. We analyze also the time evolution of the logarithmic negativity, which characterizes the degree of quantum entanglement.

Citation Download Citation

Aurelian Isar "Quantum entanglement of two-mode continuous variable states in a thermal reservoir", Proc. SPIE 7469, ROMOPTO 2009: Ninth Conference on Optics: Micro- to Nanophotonics II, 746909 (17 May 2010); https://doi.org/10.1117/12.862060

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