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Thermal Effects In Jaynes–Cummings Model Derived With Low-Temperature Expansion

Author

Listed:
  • HIROO AZUMA

    (Advanced Algorithm and Systems Co., Ltd., 7F Ebisu-IS Building, 1-13-6 Ebisu, Shibuya-ku, Tokyo 150-0013, Japan)

  • MASASHI BAN

    (Graduate School of Humanities and Sciences, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610, Japan)

Abstract

In this paper, we investigate thermal effects of the Jaynes–Cummings model (JCM) at finite temperature with a perturbative approach. We assume a single two-level atom and a single cavity mode to be initially in the thermal equilibrium state and the thermal coherent state, respectively, at a certain finite low temperature. Describing this system with Thermo Field Dynamics formalism, we obtain a low-temperature expansion of the atomic population inversion in a systematic manner. Letting the system evolve in time with the JCM Hamiltonian, we examine thermal effects of the collapse and the revival of the Rabi oscillations by means of the third-order perturbation theory under the low-temperature limit, that is to say, using the low-temperature expansion up to the third-order terms. From an intuitive discussion, we can expect that the period of the revival of the Rabi oscillations becomes longer as the temperature rises. Numerical results obtained with the perturbation theory reproduce well this temperature dependence of the period.

Suggested Citation

  • Hiroo Azuma & Masashi Ban, 2011. "Thermal Effects In Jaynes–Cummings Model Derived With Low-Temperature Expansion," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(10), pages 1015-1062.
    • Handle: RePEc:wsi:ijmpcx:v:22:y:2011:i:10:n:s0129183111016750
    DOI: 10.1142/S0129183111016750
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