Cavity Quantum Electrodynamics in the Ultrastrong Coupling Regime
Quantum Physics
2011-07-26 v2
Abstract
We revisit the mathematical formulation of the famous Jaynes-Cummings-Paul Hamiltonian, which describes the interaction of a two-level atom with a single mode of an electromagnetic cavity reservoir. We rigorously show that under the condition of Ultrastrong coupling between the atom and cavity, in which the transition frequency is comparable to the coupling frequency, the bosonic field operators undergo non-sinusoidal time variations. As a result, the well-known solutions to the Jaynes-Cummings-Paul model are no longer valid, even when the rotating wave approximation is not used. We show how a correct mathematical solution could be found instead.
Keywords
Cite
@article{arxiv.1008.0115,
title = {Cavity Quantum Electrodynamics in the Ultrastrong Coupling Regime},
author = {Elaheh Ahmadi and Hamid Reza Chalabi and Abbas Arab and Sina Khorasani},
journal= {arXiv preprint arXiv:1008.0115},
year = {2011}
}
Comments
13 pages, 7 figures