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Rigorous treatment of the damping theory for coupled systems in contact with reservoirs parametric amplifier

Author

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  • Arimitsu, Toshihico
  • Takahashi, Yoshinori
  • Shibata, Fumiaki

Abstract

The damping theory is correctly applied to the coupled systems in contact with respective reservoirs. Differences between the present rigorous treatment of the damping theory and the conventional one are explicitly shown for an exactly solvable model of the parametric amplifier. The deviation becomes significant as the transition point of the system is approached. The conventional treatment breaks down for a description of a certain physical quantity even in the weak coupling limit.

Suggested Citation

  • Arimitsu, Toshihico & Takahashi, Yoshinori & Shibata, Fumiaki, 1980. "Rigorous treatment of the damping theory for coupled systems in contact with reservoirs parametric amplifier," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 100(3), pages 507-539.
    • Handle: RePEc:eee:phsmap:v:100:y:1980:i:3:p:507-539
    DOI: 10.1016/0378-4371(80)90165-X
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    Citations

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    Cited by:

    1. Arimitsu, Toshihico, 1980. "Correction to the laser master equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(1), pages 126-142.
    2. Shibata, Fumiaki & Ezaki, Hiromi, 1988. "Expansion formulae for time-correlation functions and transport coefficients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(3), pages 472-506.
    3. Arimitsu, T. & Ban, M. & Saito, T., 1991. "Stochastic Liouville equation approach within non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 329-338.
    4. Arimitsu, T. & Willeboordse, H.F. & Iwasaki, T., 1992. "An analytical treatment of a localized electronphonon system in terms of non-equilibrium thermo field dynamics: Intensity distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(1), pages 214-227.
    5. Arimitsu, Toschihico & Ban, Masashi & Shibata, Fumiaki, 1984. "A solvable model of microscopic frequency modulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(1), pages 131-148.
    6. Ban, Masashi & Arimitsu, Toshihico, 1985. "A solvable model of microscopic frequency modulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(3), pages 455-468.
    7. Tominaga, T. & Arimitsu, T. & Pradko, J. & Umezawa, H., 1988. "A derivation of the laser master equation in terms of thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(1), pages 97-117.

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