A N F Aleixo et al 2001 J. Phys. A: Math. Gen. 34 1109 doi:10.1088/0305-4470/34/6/304
Supersymmetric and shape-invariant generalization for nonresonant and intensity-dependent Jaynes-Cummings systems
A N F Aleixo1,4, A B Balantekin2,5 and M A Cândido Ribeiro3
Show affiliationsA 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.
- PACS
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03.65.Ge Solutions of wave equations: bound states
- MSC
- Subjects
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Quantum gases, liquids and solids
Optics, quantum optics and lasers
Particle physics and field theory
- Dates
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Issue 6 (16 February 2001)
Received 17 May 2000, in final form 2 August 2000
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Supersymmetric and shape-invariant generalization for nonresonant and intensity-dependent Jaynes-Cummings systems
A N F Aleixo et al 2001 J. Phys. A: Math. Gen. 34 1109
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