Nonresonant and intensity-dependent
Jaynes-Cummings systems

doi:10.1088/0305-4470/34/6/304

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 1109-1127 doi: 10.1088/0305-4470/34/6/304

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A N F Aleixo^1,4, A B Balantekin^2,5 and M A Cândido Ribeiro³
¹ Department of Physics, University of Wisconsin Madison, WI 53706, USA
² Max-Planck-Institut für Kernphysik, Postfach 103980, D-69029 Heidelberg, Germany
³ Departamento de Física, Instituto de Biociências, Letras e Ciências Exatas, UNESP, São José do Rio Preto, SP, Brazil
⁴ Permanent address: Instituto de Física, Universidade Federal do Rio de Janeiro, RJ, Brazil.
⁵ Permanent address: Department of Physics, University of Wisconsin, Madison, WI 53706, USA.
E-mail: aleixo@nucth.physics.wisc.edu, baha@nucth. physics.wisc.edu and macr@df.ibilce.unesp.br

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 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 numbers: 0365F, 0370, 0530, 1130P

Print publication: 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

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