Ground State of Jaynes-Cummings Model: Comparison of Solutions with and without the Rotating-Wave Approximation |
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| Authors: | LI Xiao-Hong WANG Ke-Lin LIU Tao |
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| Affiliation: | School of Science, Southwest University of Science and Technology, Mianyang 621010School of Science, University of Science and Technology of China, Hefei 230026 |
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| 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. |
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| Keywords: | 42.50.Pq 42.50.Hz |
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