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Pseudo-invariant Eigen-operator for Deriving Energy-Level Gap for Jaynes-Cummings Model
Authors:FAN Hong-Yi  DA Cheng
Institution:1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China ;2. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China ;3. Department of Computer Science and Technology, University of Science and Technology of China, Hefei 230027, China
Abstract:We extend the concept of invariant eigen-operator to pseudo-invariant eigen-operator case through analyzing the standard Jaynes-Cummings model. We find the pseudo-invariant eigen-operator in terms of supersymmetric generators of this model, which diretly leads to the energy-level gap for Jaynes-Cummings Hamiltonian.
Keywords:pseudo-invariant eigen-operator method  Jaynes-Cummings model  energy gap                                                                                                                                
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