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Solving Multiphoton Jaynes–Cummings Model with Field Nonlinearity by Supersymmetric Unitary Transformation
Authors:Tong-Qiang Song  Hong-Yi Fan
Institution:(1) Department of Applied Physics, School of Science, Tianjin University, Tianjin, People's Republic of China;(2) LiuHui Center for Applied Mathematics, Tianjin, People's Republic of China
Abstract:We introduce a supersymmetric unitary transformation, to diagonalize the multiphoton Jaynes–Cummings model Hamiltonian based on supersymmetric quantum mechanics theory, that includes any forms of intensity-dependent coupling and field nonlinearity. On doing so, we obtain its eigenvalue and eigenstates, and the time evolution of state vector.
Keywords:Multiphoton JCM  supersymmetric unitary transformation
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