arXiv:quant-ph/0005045·v1·Quantum Physics
Supersymmetric and Shape-Invariant Generalization for Non-resonant Jaynes-Cummings Systems
A. N. F. Aleixo (Wisconsin U., Madison & Rio de Janeiro Federal U.)🇺🇸 · A. B. Balantekin (Max-Planck-Institute, Heidelberg & Wisconsin U., Madison)🇩🇪 · M. A. Candido Ribeiro (Sao Jose do Rio Preto, IBLCE)🇧🇷
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.
Comments: 17 pages of REVTEX