Exact eigenstates of the two-photon Jaynes-Cummings model with the counter-rotating term
Department of Physics, The Chinese University of Hong Kong,
Shatin, New Territories, Hong Kong, China
Revised: 26 October 1998
Published online: 15 April 1999
We have investigated the eigenenergy spectrum of the two-photon 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, unlike the one-photon counterpart, the two-photon 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 two-photon 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. Besides, we would expect that the quantum dynamics of the two-photon JC model without the RWA is qualitatively different from that of the usual one-photon case.
PACS: 42.50.Vk – Mechanical effects of light on atoms, molecules, electrons, and ions / 32.90.+a – Other topics in atomic properties and interactions of atoms and ions with photons (restricted to new topics in section 32)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999