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

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

2003-02-15

arxiv.org/abs/math-ph/0302039v1

Journal of Physical Society of Japan, Vol. 71, 1440-1444 (2002)

Physics

Mathematical Physics

7 pages, Latex

Scientific paper

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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