The multiquantum Jaynes-Cummings model with the counter-rotating terms
Department of Physics, The Chinese University of Hong Kong
Shatin, New Territories, Hong Kong
Accepted: 9 February 1998
In this paper we have investigated the eigen energy spectrum of the k-photon Jaynes-Cummings (JC) model without the rotating-wave approximation (RWA). Our analysis shows that for k > 2 the k-photon JC model without the RWA does not have eigenstates in the Hilbert space spanned by the photon number states, i.e. the model becomes ill-defined. Hence, the k-photon JC model without the RWA is qualitatively different from the RWA counterpart which is valid for all values of k and the coupling parameter.
PACS: 02.30.Sa – Functional analysis / 42.50.-p – Quantum optics / 32.80.-t – Photon interactions with atoms
© EDP Sciences, 1998