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Analytical Results of Eigenstates and Eigenenergies by Mixing Models of Five Bosonic Modes |
LI Wei-Bin1;ZHAN Zhi-Ming2;XIE Xiao-Tao1;LUO Jin-Ming1;WU Xuan1 |
1Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
2State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074 |
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Cite this article: |
LI Wei-Bin, ZHAN Zhi-Ming, XIE Xiao-Tao et al 2004 Chin. Phys. Lett. 21 1003-1005 |
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Abstract The analytical expressions of eigenstates and eigenenergies are demonstrated using a parameter λ without the assumption of Bethe ansatz for two kinds of five-mode mixing models. It is found that the parameter can be determined by the roots of a simple polynomial. We also illustrate the exact analytical expressions of eigenstates and energies without any unknown parameter.
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Keywords:
03.75.Hh
05.30.Jp
03.65.Ud
42.50.-p
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Published: 01 June 2004
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PACS: |
03.75.Hh
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(Static properties of condensates; thermodynamical, statistical, and structural properties)
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05.30.Jp
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(Boson systems)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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42.50.-p
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(Quantum optics)
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