量子光学学报, 2006, 12 (2): 0071, 网络出版: 2010-06-03
多光子集体辐射原子的J－C模型超对称求解
Solving the Jaynes-Cummings Model for Two Collectively Radiating Atoms in Multi-photon Procees by Supersymmetric Transformation
多光子集体辐射原子 J－C模型 超对称变换 two collectively radiating atom in multi-photon ca J-C model supersymmetric transfomation
摘要
根据已有的双光子情形具有两个集体辐射原子的Jaynes－Cummings(J－C)模型，将之推广到多光子情形。找出了该模型的超对称生成元，然后用超对称变换的方法十分简洁地求解出了它的能量本征值和能量本征态。
Abstract
In this paper,the(generalized)Jaynes-Cummings(J-C)model,which describes two-level collective radiation atoms interacting with two mode of radiation in two photon case,was generalized to the multi-photon case. After finding its supersymmetric generators,the energy eigenvalues and digenvectors of it are readily obtained by the virtue of supersymmetric method.
桂卫军, 黄会明, 胡小光. 多光子集体辐射原子的J－C模型超对称求解[J]. 量子光学学报, 2006, 12(2): 0071. GUI Wei-jun, HUANG Hui-ming, HU Xiao-guang. Solving the Jaynes-Cummings Model for Two Collectively Radiating Atoms in Multi-photon Procees by Supersymmetric Transformation[J]. Acta Sinica Quantum Optica, 2006, 12(2): 0071.
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