Chin. Phys. Lett.  2004, Vol. 21 Issue (6): 983-986    DOI:
Original Articles |
Exact Eigenstates for a Class of Models Describing Multiphoton Processes in the Presence of Six Bosonic Modes
ZHAN Zhi-Ming1;LI Wei-Bin2;LI Jia-Hua2;YANG Wen-Xing2,3;CHEN Ai-Xi3
1State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074 2Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 3Centre for Cold Atom Physics, Chinese Academy of Sciences, Wuhan 430071
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ZHAN Zhi-Ming, LI Wei-Bin, LI Jia-Hua et al  2004 Chin. Phys. Lett. 21 983-986
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Abstract We present an efficient approach to study the spectra and eigenstates for the model describing six multiphoton processes in the presence of bosonic modes without using the assumption of the Bethe ansatz. The exact analytical results of all the eigenstates and eigenvalues are in terms of a parameter λ for a class of models describing the six-mode multiphoton processes. The parameter is determined by the roots of a polynomial and is solvable analytically or numerically.

Keywords: 03.65.Ge      42.50.Hz      42.65.-k      42.50.-p     
Published: 01 June 2004
PACS:  03.65.Ge (Solutions of wave equations: bound states)  
  42.50.Hz (Strong-field excitation of optical transitions in quantum systems; multiphoton processes; dynamic Stark shift)  
  42.65.-k (Nonlinear optics)  
  42.50.-p (Quantum optics)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2004/V21/I6/0983
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