叠加的奇偶SU(1,1)相干态的统计性质

STATISTICAL PROPERTIES OF SUPERPOSITION OF ODD AND EVEN SU (1,1) COHERENT STATES 

研究了将两个 Ｓ Ｕ（１ ，１） 相干态｜ ζ，ｋ〉和｜ ζ，ｋ〉叠加起来得到的新的量子态的统计性质．偶 Ｓ Ｕ（１ ，１） 相干态｜ ζ，１／４〉和奇 Ｓ Ｕ（１ ，１） 相干态｜ ζ，３／４〉分别对应于压缩真空态和压缩单光子数态．适当选取 Ｓ Ｕ（１ ，１） 态的相位角和叠加时的相对相位，得到的新的量子态比单个 Ｓ Ｕ（１ ，１） 相干态表现出大大增强的正交分量压缩和光子反群聚效应．也说明了怎样准备这样的叠加态．

We study the statistical properties in the superpositions of SU(1,1) coherent states |ζ,k〉 and |ζ\+*,k〉. The even SU(1,1) coherent state ( |ζ,1/4〉 ) and odd SU(1,1) coherent state (|ζ,3/4〉) correspond to squeezed vacuum state and squeezed one photon number state, respectively. It is shown that the superposed states can exhibit much stronger squeezing and antibunching for the suitable phase of ζ and the relative phase in superposition. We also propose a method of generating such superposed states. PACC: 4250; 3280