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

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

Physica A: Statistical Mechanics and its Applications, 2000, vol. 275, issue 3, 463-474

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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:275:y:2000:i:3:p:463-474

DOI: 10.1016/S0378-4371(99)00401-X

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