A diagonalization scheme for the Rabi Hamiltonian, which describes a qubit interacting with a single-mode radiation field via a dipole interaction, is proposed. It is shown that the Rabi Hamiltonian can be solved almost exactly using a progressive scheme that involves a finite set of one variable polynomial equations. The scheme is especially efficient for the lower part of the spectrum. Some low-lying energy levels of the model with several sets of parameters are calculated and compared to those provided by the recently proposed generalized rotating-wave approximation and a full matrix diagonalization. © 2010 IOP Publishing Ltd Printed in the UK & the USA.
Publication Source (Journal or Book title)
Journal of Physics B: Atomic, Molecular and Optical Physics
Pan, F., Guan, X., Wang, Y., & Draayer, J. (2010). A progressive diagonalization scheme for the Rabi Hamiltonian. Journal of Physics B: Atomic, Molecular and Optical Physics, 43 (17) https://doi.org/10.1088/0953-4075/43/17/175501