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Dynamical rearrangement of the thermal vacuum in thermo field dynamics

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  • Arimitsu, T.
  • Sudo, Y.
  • Umezawa, H.

Abstract

The dynamical rearrangement of the thermal vacuum is investigated within the framework of the thermo field dynamics (TFD). For the cases where the initial state and the final state of a system have different symmetries, models of the boson transformation and the superconductor are dealt with to show how to use the axioms of TFD. It is shown that TFD can treat the time evolution of the symmetry breaking systematically. Although the investigation is done within the lowest order treatment in this paper, the dynamical rearrangement of the thermal vacuum can be observed because of the presence of the dissipative part in the time evolution generator of TFD.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:146:y:1987:i:3:p:433-451
    DOI: 10.1016/0378-4371(87)90279-2
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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.
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    Cited by:

    1. Arimitsu, Toshihico, 1988. "Kinetic equations within the formalism of non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(3), pages 427-455.
    2. Arimitsu, Toshihico, 1989. "Non-equilibrium open systems and non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 158(1), pages 317-325.
    3. 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.
    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. 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.
    6. Ban, Masashi, 1994. "Phase operator formalism in thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 212(3), pages 327-356.
    7. 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.
    8. Ban, Masashi, 1991. "Phase variable and phase relaxation processes in the Liouville space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 179(1), pages 103-130.
    9. Laciana, Carlos E., 1995. "Can gravity be a thermal reservoir?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(4), pages 511-517.
    10. 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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    1. 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.
    2. Arimitsu, Toshihico, 1988. "Kinetic equations within the formalism of non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(3), pages 427-455.
    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. 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.
    5. Ban, Masashi, 1991. "Phase variable and phase relaxation processes in the Liouville space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 179(1), pages 103-130.
    6. 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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