A class of quasi-exact solutions of Rabi Hamiltonian

Feng Pan, Liaoning Normal University
You Kun Yao, Liaoning Normal University
Ming Xia Xie, Liaoning Normal University
Wen Juan Han, Liaoning Normal University
J. P. Draayer, Louisiana State University


A class of quasi-exact solutions of the Rabi Hamiltonian, which describes a two-level atom interacting with a single-mode radiation field via a dipole interaction without the rotating-wave approximation, are obtained by using a wavefunction ansatz. Exact solutions for part of the spectrum are obtained when the atom-field coupling strength and the field frequency satisfy certain relations. As an example, the lowest exact energy level and the corresponding atom-field entanglement at the quasi-exactly solvable point are calculated and compared to results from the Jaynes-Cummings and counter-rotating cases of the Rabi Hamiltonian. © International Academic Publishers.