Ground State of Jaynes-Cummings Model: Comparison of Solutions with and without the Rotating-Wave Approximation
LI Xiao-Hong1, WANG Ke-Lin1,2, LIU Tao1
1School of Science, Southwest University of Science and Technology, Mianyang 6210102School of Science, University of Science and Technology of China, Hefei 230026
Ground State of Jaynes-Cummings Model: Comparison of Solutions with and without the Rotating-Wave Approximation
LI Xiao-Hong1, WANG Ke-Lin1,2, LIU Tao1
1School of Science, Southwest University of Science and Technology, Mianyang 6210102School of Science, University of Science and Technology of China, Hefei 230026
摘要The eigenenergy spectrum of the Jaynes--Cummings (JC) model with and without the rotating-wave approximation (RWA) is investigated. The numerical analysis indicates that the non-RWA spectrum can only be approximated by the RWA in the range of sufficiently small coupling constant and detuning. In other region, the counter-rotating terms remarkably change the nature of the RWA energy spectrum. A simple expression with high accuracy for ground eigenenergy and eigenvector for non-RWA is available. The ground eigenvector for non-RWA shows that the ground state is not a dark state and very different from that of RWA which is a dark state.
Abstract：The eigenenergy spectrum of the Jaynes--Cummings (JC) model with and without the rotating-wave approximation (RWA) is investigated. The numerical analysis indicates that the non-RWA spectrum can only be approximated by the RWA in the range of sufficiently small coupling constant and detuning. In other region, the counter-rotating terms remarkably change the nature of the RWA energy spectrum. A simple expression with high accuracy for ground eigenenergy and eigenvector for non-RWA is available. The ground eigenvector for non-RWA shows that the ground state is not a dark state and very different from that of RWA which is a dark state.
(Strong-field excitation of optical transitions in quantum systems; multiphoton processes; dynamic Stark shift)
引用本文:
LI Xiao-Hong;WANG Ke-Lin;LIU Tao. Ground State of Jaynes-Cummings Model: Comparison of Solutions with and without the Rotating-Wave Approximation[J]. 中国物理快报, 2009, 26(4): 44212-044212.
LI Xiao-Hong, WANG Ke-Lin, LIU Tao. Ground State of Jaynes-Cummings Model: Comparison of Solutions with and without the Rotating-Wave Approximation. Chin. Phys. Lett., 2009, 26(4): 44212-044212.
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2009, Vol. 26 
