An approach to exact solutions of the time-dependent supersymmetric two-level three-photon Jaynes-Cummings model
Shen, Jian-Qi ; Zhu, Hong-Yi ; Mao, Hong
arXiv, 0302039 / Harvested from arXiv
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
Publié le : 2003-02-15
Classification:  Mathematical Physics
@article{0302039,
     author = {Shen, Jian-Qi and Zhu, Hong-Yi and Mao, Hong},
     title = {An approach to exact solutions of the time-dependent supersymmetric
  two-level three-photon Jaynes-Cummings model},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0302039}
}
Shen, Jian-Qi; Zhu, Hong-Yi; Mao, Hong. An approach to exact solutions of the time-dependent supersymmetric
  two-level three-photon Jaynes-Cummings model. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0302039/