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Gauss Markov process of a quantum oscillator

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Zeitschrift für Physik B Condensed Matter

Abstract

We give a proper definition of a quantum Gauss process. From there we derive the generator (dissipative Liouville operator) of a Gauss Markov process for a quantum oscillator without using a microscopic model. Dissipative Liouville operators derived from microscopic models are recovered as special cases. The dynamics following from the generator is investigated by studying the relaxation of the first moments and equilibrium correlations.

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Author notes

  1. P. Talkner

    Present address: Institut für Physik, Universität Basel, Switzerland

Authors and Affiliations

  1. Institut für Theoretische Physik der Universität, Stuttgart, Germany

    P. Talkner

  2. Institut für Theoretische Physik, Universität Basel, Klingelbergstrasse 82, CH-4056, Basel, Switzerland

    P. Talkner

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  1. P. Talkner
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Work supported by Deutsche Forschungsgemeinschaft

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Talkner, P. Gauss Markov process of a quantum oscillator. Z. Physik B - Condensed Matter 41, 365–374 (1981). https://doi.org/10.1007/BF01307328

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  • DOI: https://doi.org/10.1007/BF01307328

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