dorsal/arxiv
View SchemaSupersymmetric and Shape-Invariant Generalization for Non-resonant Jaynes-Cummings Systems
| Authors | A. N. F. Aleixo, A. B. Balantekin, M. A. Candido Ribeiro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005045 |
| URL | https://arxiv.org/abs/quant-ph/0005045 |
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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"abstract": "A class of shape-invariant bound-state problems which represent transitions\nin a two-level system introduced earlier are generalized to include arbitrary\nenergy splittings between the two levels. We show that the coupled-channel\nHamiltonians obtained correspond to the generalization of the non-resonant\nJaynes-Cummings Hamiltonian, widely used in quantized theories of laser. In\nthis general context, we determine the eigenstates, eigenvalues, the time\nevolution matrix and the population inversion matrix factor.",
"arxiv_id": "quant-ph/0005045",
"authors": [
"A. N. F. Aleixo",
"A. B. Balantekin",
"M. A. Candido Ribeiro"
],
"categories": [
"quant-ph",
"nucl-th"
],
"title": "Supersymmetric and Shape-Invariant Generalization for Non-resonant Jaynes-Cummings Systems",
"url": "https://arxiv.org/abs/quant-ph/0005045"
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