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The Heisenberg-Langevin model of a quantum damped harmonic oscillator with time-dependent frequency and damping coefficients

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Journal of Russian Laser Research Aims and scope

Abstract

We develop a consistent model of a quantum damped harmonic oscillator with arbitrary time-dependent frequency and damping coefficients within the framework of the Heisenberg-Langevin equations with two noncommuting delta-correlated noise operators justifying the choice of the “minimal noise” set of damping coefficients and correlation functions.

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Authors and Affiliations

  1. Instituto de Física, Universidade de Brasília, Caixa Postal 04455, 70910-900, Brasília, DF, Brazil

    V. V. Dodonov

  2. Departamento de Física, Universidade Federal de São Carlos, Via Washington Luis, km 235, 13565-905, São Carlos, SP, Brazil

    A. V. Dodonov

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  1. V. V. Dodonov
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Dedicated to the memory of Dr. Andrey Vinogradov on the occasion of the 60th anniversary of his birth.

Manuscript submitted by the authors in English on April 22, 2006.

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Dodonov, V.V., Dodonov, A.V. The Heisenberg-Langevin model of a quantum damped harmonic oscillator with time-dependent frequency and damping coefficients. J Russ Laser Res 27, 379–388 (2006). https://doi.org/10.1007/s10946-006-0020-1

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