中国物理B ›› 2000, Vol. 9 ›› Issue (8): 568-571.doi: 10.1088/1009-1963/9/8/003

• GENERAL • 上一篇    下一篇

MULTIPHOTON JAYNES-CUMMINGS MODEL SOLVED VIA SUPERSYMMETRIC UNITARY TRANSFORMATION

逯怀新, 王晓芹   

  1. Department of Physics, Changwei Teachers' College, Weifang 261043, China
  • 收稿日期:2000-03-25 出版日期:2005-06-10 发布日期:2005-06-10

MULTIPHOTON JAYNES-CUMMINGS MODEL SOLVED VIA SUPERSYMMETRIC UNITARY TRANSFORMATION

Lu Huai-xin (逯怀新), Wang Xiao-qin (王晓芹)   

  1. Department of Physics, Changwei Teachers' College, Weifang 261043, China
  • Received:2000-03-25 Online:2005-06-10 Published:2005-06-10

摘要: For multiphoton Jaynes-Cummings(JC) model Hamiltonian, we find its supersymmetric structure. Based on this, we introduce a supersymmetric unitary transformation to diagonalize the JC Hamiltonian, in so doing, its eigenvalues and eigenfunctions are obtained. The transition process is also calculated.

Abstract: For multiphoton Jaynes-Cummings(JC) model Hamiltonian, we find its supersymmetric structure. Based on this, we introduce a supersymmetric unitary transformation to diagonalize the JC Hamiltonian, in so doing, its eigenvalues and eigenfunctions are obtained. The transition process is also calculated.

Key words: jaynes-cummings model, supersymmetric unitary transformation, transition probability

中图分类号:  (Linear algebra)

  • 02.10.Ud
11.30.Pb (Supersymmetry) 42.50.Hz (Strong-field excitation of optical transitions in quantum systems; multiphoton processes; dynamic Stark shift)