一种SU(2)相干态的Boson实现及其非经典效应的研究

THE BOSON PEPRESENTATION AND STUDY FOR NON-CLASSAL PROPERTIES OF THE SU(2) COHERENT STATES

本文用Boson产生和湮灭算子a＋和a构造了一个由两个正交子空间构成的态空间｛｜Z＞1、，｜Z＞2｝，它的态矢｜Z＞1、，｜Z＞2是Lie代数SU（2）阶梯算子J－的本征态，证明了它是这个SU（2）代数的相干态，通过对这个SU（2）相干态非经典性质的研究，得出了相干态｛｜Z＞1、，｜Z＞2｝的两个子空间｛｜Z＞1｝、和｛｜Z＞2｝各自具有完全不同的非经典政应的结论。

In this paper,we construct a statespace {Z>1, Z>2 }which are composed of two orthogond subspacs in terms of boson creatron operator a+ and annihilation operator a. They are eigenstates of the lowering operator of Lie algbra su(2) and the coherent states of the su (2) aigbra, It Is show that su (2) coherent states are intellingent states of the su (2) algbra.Non-classical properties of the subspaces {z>1 }and {z>2 }of the su (2) coherent states {Z>1,Z>2 }exhibit nontrovoal squeezing and antibunching properties.