Effective Hamiltonians in quantum optics: a systematic approach
Effective Hamiltonians in quantum optics: a systematic approach
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DOI：
10.1080/09500340210134675
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发表时间：
2002-09
影响因子：
1.3
通讯作者：
A. Klimov;L. Sánchez‐Soto;A. Navarro;E. Yustas
中科院分区：
文献类型：
--
作者：
A. Klimov;L. Sánchez‐Soto;A. Navarro;E. Yustas
本文讨论了一种获得描述不同非线性光学过程的有效哈密顿量的一般而系统的方法。该方法利用了通常的su（2）代数的非线性变形的存在性，这种变形是由于原始模型的动力学对称性而产生的。当某些物理参数变小时，可以立即得到一个对角有效的哈密顿量，它可以正确地表示任意状态和长时间的动力学。将该方法推广到su（3）和su（N），当满足某些共振条件时，找到相应的有效哈密顿量.
A general and systematic method for obtaining eiective Hamiltonians that describe diierent nonlinear optical processes is discussed. The method exploits the existence of a nonlinear deformation of the usual su(2) algebra that arises as the dynamical symmetry of the original model. When some physical parameter, dictated by the process under consideration, becomes small, a diagonal eiective Hamiltonian is obtained immediately, that correctly represents the dynamics for arbitrary states and long times. The technique is extended to su(3) and su(N), finding the corresponding eiective Hamiltonians when some resonance conditions are fulfilled.