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An approach to exact solutions of the time-dependent supersymmetric two-level three-photon Jaynes-Cummings model

Jian-Qi Shen·Hong-Yi Zhu·Hong Mao
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Abstract

By utilizing the property of the supersymmetric structure in the two-level multiphoton Jaynes-Cummings model, an invariant is constructed in terms of the supersymmetric generators by working in the sub-Hilbert-space corresponding to a particular eigenvalue of the conserved supersymmetric generators. We obtain the exact solutions of the time-dependent Schr\"{o}dinger equation which describes the time-dependent supersymmetric two-level three-photon Jaynes-Cummings model (TLTJCM) by using the invariant-related unitary transformation formulation. The case under the adiabatic approximation is also discussed. Keywords: Supersymmetric Jaynes-Cummings model; exact solutions; invariant theory; geometric phase factor; adiabatic approximation

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Jian-Qi Shen, Hong-Yi Zhu, Hong Mao. 2003-02-15. An approach to exact solutions of the time-dependent supersymmetric two-level three-photon Jaynes-Cummings model. https://doi.org/10.1143/jpsj.71.1440

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