期刊论文

Li Jiang-Fan

英文

Communications in Theoretical Physics

理论物理通讯：英文版

0253-6102

2009

51

3

514-518

10.1088/0253-6102/51/3/27

The project supported by the National Natural Science Foundation of China under Grant Nos. 40674076 and 40474064, the Hunan Natural Science Foundation of China under Grant No. 07JJ3123 and the Scientific Research Fund of Hunan Provincial Education Department under Grant Nos. 06C163. 05B023. and 06B004.

本校为第一且通讯机构

By properly selecting the time-dependent unitary transformation for the linear combination of the number operators, we construct a time-dependent invariant and derive the corresponding auxiliary equations for the degenerate and non-degenerate coupled parametric down-conversion system with driving term. By means of this invariant and the Lewis-Riesenfeld quantum invariant theory, we obtain closed formulae of the quantum state and the evolution operator of the system. We show that the time evolution of the quantum system directly leads to product...

由适当地选择时间依赖者为号码操作员的线性联合的单一的转变，我们构造不变的一个时间依赖者并且与开车为退化、非退化的联合参量的下面变换系统导出相应辅助方程术语。借助于这不变并且路易斯·里森菲尔德量不变的理论，我们获得量状态和系统的进化操作符的关上的公式。我们证明量系统的时间进化直接导致挤压的各种各样的概括一个模式和二模式的联合的生产说，并且挤压的效果独立于 Hamiltonian 的开车术语。在一些特殊情况中，当前的答案能归结为以前的工作的结果。