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Chin. Phys. B, 2012, Vol. 21(5): 054210    DOI: 10.1088/1674-1056/21/5/054210

Level crossing in a two-photon Jaynes–Cummings model

Ren Xue-Zao(任学藻)a)†, Cong Hong-Lu(丛红璐)b), Liao Xu(廖旭)a), and Li Lei(黎雷)a)
a. School of Science, Southwest University of Science and Technology, Mianyang 621010, China;
b. Physics Group, Beijing Jiao Tong University Haibin College, Huanghua 061100, China
Abstract  In this paper, the energy spectrum of the two-photon Jaynes--Cummings model (TPJCM) is calculated exactly in the non-rotating wave approximation (non-RWA), and we study the level-crossing problem by means of fidelity. A narrow peak of the fidelity is observed at the level-crossing point, which does not appear at the avoided-crossing point. Therefore fidelity is perfectly suited for detecting the level-crossing point in the energy spectrum.
Keywords:  level crossing      fidelity      two-photon Jaynes--Cummings model  
Received:  25 September 2011      Revised:  27 April 2012      Accepted manuscript online: 
PACS:  42.50.Md (Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency)  
  32.80.Wr (Other multiphoton processes)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 1097602/A06).

Cite this article: 

Ren Xue-Zao(任学藻), Cong Hong-Lu(丛红璐), Liao Xu(廖旭), and Li Lei(黎雷) Level crossing in a two-photon Jaynes–Cummings model 2012 Chin. Phys. B 21 054210

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