Physics – Mathematical Physics
Scientific paper
2003-02-15
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
Mao Hong
Shen Jian Qi
Zhu Hong-Yi
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