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Quantum decoherence and classical correlations of the harmonic oscillator in the Lindblad theory

Affiliation:	1. Department of Theoretical Physics, Institute of Physics and Nuclear Engineering, Bucharest-Magurele, Romania;2. Institut für Theoretische Physik der Justus-Liebig-Universität, Giessen, Germany;1. Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran;2. Department of Mathematics and Informatics, University of Oradea, Universitatii Street no. 1, 410087 Oradea, Romania;1. Department of Theoretical Physics, “Horia Hulubei” National Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest, Romania;2. Academy of Romanian Scientists, Splaiul Independentei, nr. 54, Bucharest, Romania;3. Department of Mathematical Modeling in Life Sciences, Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie, nr. 13, Bucharest, Romania;4. Department of Animal Physiology and Biophysics, Faculty of Biology, University of Bucharest, Spl. Independentei nr. 91–95, Bucharest, Romania;1. Instituto de Ciencias, Universidad Nacional de Gral. Sarmiento, J.M. Gutierrez 1150, (1613) Los Polvorines, Argentina;2. Instituto Argentino de Matemática, Saavedra 15, 3er. piso, (1083) Buenos Aires, Argentina

Abstract:	In the framework of the Lindblad theory for open quantum systems we determine the degree of quantum decoherence and classical correlations of a harmonic oscillator interacting with a thermal bath. The transition from quantum to classical behaviour of the considered system is analysed and it is shown that the classicality takes place during a finite interval of time. We calculate also the decoherence time and show that it has the same scale as the time after which statistical fluctuations become comparable with quantum fluctuations.

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