中国物理B ›› 2009, Vol. 18 ›› Issue (12): 5149-5154.doi: 10.1088/1674-1056/18/12/009

• GENERAL • 上一篇    下一篇

Exact solution for the thermo Jaynes--Cummings model

袁洪春, 范洪义   

  1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
  • 收稿日期:2009-03-29 修回日期:2009-05-18 出版日期:2009-12-20 发布日期:2009-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10775097 and 10874174).

Exact solution for the thermo Jaynes--Cummings model

Yuan Hong-Chun(袁洪春)† and Fan Hong-Yi(范洪义)   

  1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
  • Received:2009-03-29 Revised:2009-05-18 Online:2009-12-20 Published:2009-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10775097 and 10874174).

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摘要： Based on the construction of supersymmetric generators, we use the Lewis--Riesenfeld invariant method to deduce the exact and explicit eigen-energy spectrum with the time-dependent thermo Jaynes--Cummings model. One of the advantages of this approach is that it can transform the hidden form, related to the chronological product, of the time evolution operator into an explicit expression. Moreover, the dynamical and statistics properties of physical quantities are obtained for the given initial states in the thermo Jaynes--Cummings system.

Abstract: Based on the construction of supersymmetric generators, we use the Lewis--Riesenfeld invariant method to deduce the exact and explicit eigen-energy spectrum with the time-dependent thermo Jaynes--Cummings model. One of the advantages of this approach is that it can transform the hidden form, related to the chronological product, of the time evolution operator into an explicit expression. Moreover, the dynamical and statistics properties of physical quantities are obtained for the given initial states in the thermo Jaynes--Cummings system.

Key words: eigen-energy spectrum, Lewis--Riesenfeld invariant method, thermo Jaynes--Cummings model

中图分类号:  (Quantum optics)

  • 42.50.-p
03.65.-w (Quantum mechanics)