Supersymmetric and ShapeInvariant Generalization for Nonresonant JaynesCummings Systems
Abstract
A class of shapeinvariant boundstate problems which represent transitions in a twolevel system introduced earlier are generalized to include arbitrary energy splittings between the two levels. We show that the coupledchannel Hamiltonians obtained correspond to the generalization of the nonresonant JaynesCummings 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.
 Publication:

arXiv eprints
 Pub Date:
 May 2000
 arXiv:
 arXiv:quantph/0005045
 Bibcode:
 2000quant.ph..5045A
 Keywords:

 Quantum Physics;
 Nuclear Theory
 EPrint:
 17 pages of REVTEX