An approach to exact solutions of the time-dependent supersymmetric two-level three-photon Jaynes-Cummings model
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
Keywords
Cite
@article{arxiv.math-ph/0302039,
title = {An approach to exact solutions of the time-dependent supersymmetric two-level three-photon Jaynes-Cummings model},
author = {Jian-Qi Shen and Hong-Yi Zhu and Hong Mao},
journal= {arXiv preprint arXiv:math-ph/0302039},
year = {2015}
}
Comments
7 pages, Latex