A progressive diagonalization scheme for the Rabi Hamiltonian
Quantum Physics
2015-05-18 v2 Mesoscale and Nanoscale Physics
Abstract
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 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 full matrix diagonalization.
Cite
@article{arxiv.1004.2801,
title = {A progressive diagonalization scheme for the Rabi Hamiltonian},
author = {Feng Pan and Xin Guan and Yin Wang and J. P. Draayer},
journal= {arXiv preprint arXiv:1004.2801},
year = {2015}
}
Comments
8pages, 1 figure, LaTeX. Accepted for publication in J. Phys. B: At. Mol. Opt. Phys