中国物理B ›› 2005, Vol. 14 ›› Issue (7): 1317-1322.doi: 10.1088/1009-1963/14/7/009

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A systematic approximate method for the study of evolution problem beyond rotating wave approximation

汪克林1, 秦敢1, 张正阶2   

  1. (1)Center of Nonlinear Science, Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026}, China; (2)College of Information Engineering, Chengdu University of Technology, Chengdu 610059, China
  • 收稿日期:2004-11-18 修回日期:2005-03-21 出版日期:2005-06-20 发布日期:2005-06-20

A systematic approximate method for the study of evolution problem beyond rotating wave approximation

Zhang Zheng-Jie (张正阶)a, Wang Ke-Lin (汪克林)b, Qin Gan (秦敢)b    

  1. a College of Information Engineering, Chengdu University of Technology, Chengdu 610059, China; b Center of Nonlinear Science, Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026, China
  • Received:2004-11-18 Revised:2005-03-21 Online:2005-06-20 Published:2005-06-20

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摘要： By a model of a two-level particle coupled with boson field, we made it clear that an evolution problem can be solved beyond the rotating wave approximation. We have applied the coherent approximation method, which had been proved to be effective in dealing with stationary state problems of polaron, to the evolution problem of the system mentioned above. The results obtained showed that the coherent approximation method is effective to treat the evolution problem, and, in general cases, the non-rotating wave terms in Hamiltonian should not be ignored. Our results may provide a deep physical insight for further experiments to test the effects of non-rotating wave terms.

关键词: coherent approximation method, non-rotating wave terms, Jaynes--Cummings model

Abstract: By a model of a two-level particle coupled with boson field, we made it clear that an evolution problem can be solved beyond the rotating wave approximation. We have applied the coherent approximation method, which had been proved to be effective in dealing with stationary state problems of polaron, to the evolution problem of the system mentioned above. The results obtained showed that the coherent approximation method is effective to treat the evolution problem, and, in general cases, the non-rotating wave terms in Hamiltonian should not be ignored. Our results may provide a deep physical insight for further experiments to test the effects of non-rotating wave terms.

Key words: coherent approximation method, non-rotating wave terms, Jaynes--Cummings model

中图分类号:  (Quantum optics)

  • 42.50.-p
05.30.Jp (Boson systems)