Otro
Supersymmetric and shape-invariant generalization for nonresonant and intensity-dependent Jaynes-Cummings systems
Registro en:
Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 34, n. 6, p. 1109-1127, 2001.
0305-4470
10.1088/0305-4470/34/6/304
WOS:000167113900007
Autor
Aleixo, ANF
Balantekin, A. B.
Ribeiro, MAC
Resumen
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 as well as intensity-dependent interactions. We show that the coupled-channel Hamiltonians obtained correspond to the generalizations of the nonresonant and intensity-dependent Jaynes-Cummings Hamiltonians, widely used in quantized theories of lasers. In this general context, we determine the eigenstates, eigenvalues, the time evolution matrix and the population inversion matrix factor.