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Coherent States of Parametric Oscillators in the Probability Representation of Quantum Mechanics†

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Journal of Russian Laser Research Aims and scope

Abstract

Glauber coherent states of quantum systems are reviewed. We construct the tomographic probability distributions of the oscillator states. The possibility to describe quantum states by tomographic probability distributions (tomograms) is presented on an example of coherent states of parametric oscillator. The integrals of motion linear in the position and momentum are used to explicitly obtain the tomogram evolution expressed in terms of trajectories of classical parametric oscillator.

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Authors and Affiliations

  1. Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russia

    Vladimir N. Chernega & Olga V. Man’ko

  2. Bauman Moscow State Technical University, Moscow, Russia

    Olga V. Man’ko

Authors
  1. Vladimir N. Chernega
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  2. Olga V. Man’ko
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Correspondence to Olga V. Man’ko.

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†We dedicate this paper to the memory of Roy Jay Glauber, the great scientist and Nobel Prize Winner, on his first death anniversary, December 26, 2019. Ad Memoriam of Roy Glauber and George Sudarshan is published in [10, 11] and is also available on link.springer.com/article/10.1007/s10946-019-09805-4 and www.mdpi.com/2624-960X/1/2/13.

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Chernega, V.N., Man’ko, O.V. Coherent States of Parametric Oscillators in the Probability Representation of Quantum Mechanics†. J Russ Laser Res 41, 11–22 (2020). https://doi.org/10.1007/s10946-020-09844-2

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