Cavity Quantum Electrodynamics in the Ultrastrong Coupling Regime
Abstract
We revisit the mathematical formulation of the famous JaynesCummingsPaul Hamiltonian, which describes the interaction of a twolevel 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 nonsinusoidal time variations. As a result, the wellknown solutions to the JaynesCummingsPaul model are no longer valid, even when the rotating wave approximation is not used.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.
 Publication:

arXiv eprints
 Pub Date:
 July 2010
 DOI:
 10.48550/arXiv.1008.0115
 arXiv:
 arXiv:1008.0115
 Bibcode:
 2010arXiv1008.0115A
 Keywords:

 Quantum Physics
 EPrint:
 13 pages, 7 figures