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Dicke Phase Transition And Multiple Stable States of T-C Model

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Abstract

In this paper, we study Dicke phase transition from the normal phase to the superradiance phase and multiple stable states of T-C model by means of variational method. The eigenstates and eigenenergies are obtained in the optical cavity’s coherent state in the resonance or detuning of the frequencies between two atoms and the optical cavity. By the boundary condition and graphical solutions of the extremum equation, the rich phase diagrams and the corresponding average photon number vary with the atom-field coupling strength, especially adopting the frequency’s detuning and imbalance parameters. Besides Dicke phase transition, the inversely populated state and the stimulated radiation from the inversely populated state are presented. We observe the interesting phenomenon that the normal and stimulated radiations are interchangeable respectively for two atoms.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11772177, 12047571), and the Science and Technological Innovation Programs of Higher Education Institutions in Shanxi Province (STIP) (Grant No. 2019L0069).

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Authors and Affiliations

  1. Institute of Theoretical Physics, Shanxi University, Taiyuan, 030006, Shanxi, China

    Ni Liu, Ming-Xia Ling, Jun-Qi Li & J.-Q. Liang

  2. State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan, Shanxi, 030006, China

    Ni Liu, Ming-Xia Ling, Jun-Qi Li & J.-Q. Liang

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  1. Ni Liu
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  2. Ming-Xia Ling
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  3. Jun-Qi Li
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  4. J.-Q. Liang
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Correspondence to Ni Liu.

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Liu, N., Ling, MX., Li, JQ. et al. Dicke Phase Transition And Multiple Stable States of T-C Model. Int J Theor Phys 60, 2812–2822 (2021). https://doi.org/10.1007/s10773-021-04838-5

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  • DOI: https://doi.org/10.1007/s10773-021-04838-5

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