Solving a Generalized Jaynes-Cummings Model by Supersymmetric Unitary Transformation
LU Huai-Xin1, WANG Xiao-Qin1, FAN Hong-Yi2
1Department of Physics, Changwei Teachers’College, Weifang, Shandong 261043
2Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026
Solving a Generalized Jaynes-Cummings Model by Supersymmetric Unitary Transformation
LU Huai-Xin1;WANG Xiao-Qin1;FAN Hong-Yi2
1Department of Physics, Changwei Teachers’College, Weifang, Shandong 261043
2Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026
Abstract： For the generalized Jaynes-Cummings model Hamiltonian which can describe two collectively radiation atoms, we find its supersymmetric structure. Based on supersymmetric quantum mechanics theory, we introduce a supersymmetric unitary transformation, in which the supersymmetric unitary transformation operator can be constructed by supersymmetric generators of the super-Lie algebra, to diagonalize the Hamiltonian. On doing so, its eigenvalue and eigenstates are obtained.
LU Huai-Xin;WANG Xiao-Qin;FAN Hong-Yi. Solving a Generalized Jaynes-Cummings Model by Supersymmetric Unitary Transformation[J]. 中国物理快报, 2000, 17(5): 319-320.
LU Huai-Xin, WANG Xiao-Qin, FAN Hong-Yi. Solving a Generalized Jaynes-Cummings Model by Supersymmetric Unitary Transformation. Chin. Phys. Lett., 2000, 17(5): 319-320.
2000, Vol. 17 
