Generalized James' effective Hamiltonian method
Abstract
James' effective Hamiltonian method has been extensively adopted to investigate largely detuned interacting quantum systems. This method is just corresponding to the second-order perturbation theory, and cannot be exploited to treat the problems which should be solved by using the third or higher-order perturbation theory. In this paper, we generalize James' effective Hamiltonian method to the higher-order case. Using the method developed here, we reexamine two examples published recently [Phys. Rev.Lett. 117, 043601 (2016), Phys. Rev A 92, 023842 (2015)], our results turn out to be the same as the original ones derived from the third-order perturbation theory and adiabatic elimination method respectively. For some specific problems, this method can simplify the calculating procedure, and the resultant effective Hamiltonian is more general.
Cite
@article{arxiv.1702.07967,
title = {Generalized James' effective Hamiltonian method},
author = {Wenjun Shao and Chunfeng Wu and Xun-Li Feng},
journal= {arXiv preprint arXiv:1702.07967},
year = {2017}
}
Comments
5 pages, no figure, submitted to Phys. Rev. A