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Exact eigenstates of the intensity-dependent Jaynes–Cummings model with the counter-rotating term

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  • Ng, K.M.
  • Lo, C.F.
  • Liu, K.L.

Abstract

We have investigated the eigenenergy spectrum of the intensity-dependent Jaynes–Cummings (JC) model with and without the rotating-wave approximation (RWA). Our analysis has indicated that the counter-rotating term dramatically changes the nature of the RWA energy spectrum and that the non-RWA spectrum can be approximated by the RWA spectrum only in the range of a sufficiently small coupling constant. Furthermore, the intensity-dependent JC model without the RWA is well defined only if the coupling parameter is below a certain critical value. As a result, the dynamics of the intensity-dependent JC model without the RWA is significantly different from its RWA counterpart. For instance, the counter-rotating term can dramatically enhance the field squeezing effect. Furthermore, we believe that our results are of immediate relevance to the system of a trapped and laser-irradiated ion, which has been shown to exhibit an intensity-dependent JC dynamics recently.

Suggested Citation

  • Ng, K.M. & Lo, C.F. & Liu, K.L., 2000. "Exact eigenstates of the intensity-dependent Jaynes–Cummings model with the counter-rotating term," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 275(3), pages 463-474.
    • Handle: RePEc:eee:phsmap:v:275:y:2000:i:3:p:463-474
    DOI: 10.1016/S0378-4371(99)00401-X
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