中国物理B ›› 2020, Vol. 29 ›› Issue (2): 20302-020302.doi: 10.1088/1674-1056/ab6555

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Unified approach to various quantum Rabi models witharbitrary parameters

Xiao-Fei Dong(董晓菲), You-Fei Xie(谢幼飞), Qing-Hu Chen(陈庆虎)   

  1. 1 Zhejiang Province Key Laboratory of Quantum Technology and Device, Department of Physics, Zhejiang University, Hangzhou 310027, China;
    2 Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China
  • 收稿日期:2019-11-27 出版日期:2020-02-05 发布日期:2020-02-05
  • 通讯作者: Qing-Hu Chen E-mail:qhchen@zju.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11834005 and 11674285).

Unified approach to various quantum Rabi models witharbitrary parameters

Xiao-Fei Dong(董晓菲)1, You-Fei Xie(谢幼飞)1, Qing-Hu Chen(陈庆虎)1,2   

  1. 1 Zhejiang Province Key Laboratory of Quantum Technology and Device, Department of Physics, Zhejiang University, Hangzhou 310027, China;
    2 Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China
  • Received:2019-11-27 Online:2020-02-05 Published:2020-02-05
  • Contact: Qing-Hu Chen E-mail:qhchen@zju.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11834005 and 11674285).

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摘要： A general approach is proposed to the quantum Rabi model and its several variants within the extended coherent states. The solutions to all these models including the anisotropy and the nonlinear Stark coupling are then obtained in an unified way. The essential characteristics such as the possible first-order phase transition can be detected analytically. This approach can be easily applied to the recent experiments with various tunable parameters without much additional effort, so it should be very helpful to the analysis of the experimental data.

关键词: exact solutions, quantum Rabi models, circuit QED, anisotropy

Abstract: A general approach is proposed to the quantum Rabi model and its several variants within the extended coherent states. The solutions to all these models including the anisotropy and the nonlinear Stark coupling are then obtained in an unified way. The essential characteristics such as the possible first-order phase transition can be detected analytically. This approach can be easily applied to the recent experiments with various tunable parameters without much additional effort, so it should be very helpful to the analysis of the experimental data.

Key words: exact solutions, quantum Rabi models, circuit QED, anisotropy

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
02.30.Ik (Integrable systems) 42.50.Pq (Cavity quantum electrodynamics; micromasers) 42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)