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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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Cite this article: |
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.
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Keywords:
03.65.Ge
42.50.Hz
42.65.-k
42.50.-p
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Published: 01 June 2004
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PACS: |
03.65.Ge
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(Solutions of wave equations: bound states)
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42.50.Hz
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(Strong-field excitation of optical transitions in quantum systems; multiphoton processes; dynamic Stark shift)
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42.65.-k
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(Nonlinear optics)
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42.50.-p
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(Quantum optics)
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