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A derivation of the laser master equation in terms of thermo field dynamics

Author

Listed:
  • Tominaga, T.
  • Arimitsu, T.
  • Pradko, J.
  • Umezawa, H.

Abstract

A laser master equation is derived by introducing an appropriate relaxation operator which takes into account correctly the semi-classical part of laser evolution. The introduction of the relaxation operator is done systematically by making use of the general procedure of non-equilibrium thermo field dynamics (NETFD). Elimination of the atom system is performed up to second order with respect to the quantum fluctuation of the electric field (i.e., spontaneous emission of photons).

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:150:y:1988:i:1:p:97-117
    DOI: 10.1016/0378-4371(88)90052-0
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    References listed on IDEAS

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    1. Arimitsu, T. & Pradko, J. & Umezawa, H., 1986. "Generating functional methods in non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 487-504.
    2. Tominaga, T. & Ban, M. & Arimitsu, T. & Pradko, J. & Umezawa, H., 1988. "Spin relaxation in terms of thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(1), pages 26-48.
    3. 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.
    4. 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.
    5. Arimitsu, T. & Guida, M. & Umezawa, H., 1988. "Dissipative quantum field theory -thermo field dynamics-," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 1-26.
    6. Arimitsu, T. & Umezawa, H. & Yamanaka, Y. & Papastamatiou, N.J., 1988. "Spontaneous creation of dissipation in thermo field dynamics and its examples," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 27-45.
    7. Arimitsu, T. & Sudo, Y. & Umezawa, H., 1987. "Dynamical rearrangement of the thermal vacuum in thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 146(3), pages 433-451.
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    Cited by:

    1. Tominaga, T. & Ban, M. & Arimitsu, T. & Pradko, J. & Umezawa, H., 1988. "Spin relaxation in terms of thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(1), pages 26-48.

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