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Supersymmetric and Shape-Invariant Generalization for Non-resonant Jaynes-Cummings Systems

A. N. F. Aleixo·A. B. Balantekin·M. A. Candido Ribeiro
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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.

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A. N. F. Aleixo, A. B. Balantekin, M. A. Candido Ribeiro. 2000-05-12. Supersymmetric and Shape-Invariant Generalization for Non-resonant Jaynes-Cummings Systems. https://arxiv.org/abs/quant-ph/0005045

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