| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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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 |
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| Cite this article: |
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LI Xiao-Hong, WANG Ke-Lin, LIU Tao 2009 Chin. Phys. Lett. 26 044212 |
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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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Received: 07 November 2008
Published: 25 March 2009
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| PACS: |
42.50.Pq
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(Cavity quantum electrodynamics; micromasers)
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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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