Chinese Physics Letters

Solving a Generalized Jaynes-Cummings Model by Supersymmetric Unitary Transformation

Lu Huai-Xin, Wang Xiao-Qin, Fan Hong-Yi

Published May 1, 2000• 8 citations

Abstract

For the generalized Jaynes-Cummings model Hamiltonian which can describe two collectively radiation atoms, we find its supersymmetric structure. Based on supersymmetric quantum mechanics theory, we introduce a supersymmetric unitary transformation, in which the supersymmetric unitary transformation operator can be constructed by supersymmetric generators of the super-Lie algebra, to diagonalize the Hamiltonian. On doing so, its eigenvalue and eigenstates are obtained.

DOI: 10.1088/0256-307x/17/5/003

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