Supersymmetric and Shape-Invariant Generalization for Non-resonant Jaynes-Cummings Systems
Quantum Physics
2007-05-23 v1 Nuclear Theory
Abstract
A class of shape-invariant bound-state problems which represent transitions in a two-level system introduced earlier are generalized to include arbitrary energy splittings between the two levels. We show that the coupled-channel Hamiltonians obtained correspond to the generalization of the non-resonant Jaynes-Cummings Hamiltonian, widely used in quantized theories of laser. In this general context, we determine the eigenstates, eigenvalues, the time evolution matrix and the population inversion matrix factor.
Cite
@article{arxiv.quant-ph/0005045,
title = {Supersymmetric and Shape-Invariant Generalization for Non-resonant Jaynes-Cummings Systems},
author = {A. N. F. Aleixo and A. B. Balantekin and M. A. Candido Ribeiro},
journal= {arXiv preprint arXiv:quant-ph/0005045},
year = {2007}
}
Comments
17 pages of REVTEX