摘要
证明了算符 (a^ f(n^) ) k(k≥ 3)的k个正交归一本征态的完备性 ,引入了反聚束效应和一种新的高阶压缩 ,研究了算符 (a^ f(n^) ) k 的k个本征态的反聚束效应和高阶压缩特性 .结果表明 ,这些态可以构成一个完备的希尔伯特(Hilbert)空间 ,它们均可呈现反聚束效应 ,且当k为偶数时它们可呈现M阶 [M =(n +1 2 )k ;n =0 ,1,2 ,…
The completeness of the k orthonormalized eigenstates of the operator \$(a^f(n^)) k(k≥3)\$ is investigated. We introduce an antibunching and a new kind of higher\|order squeezing. The properties of the antibunching effect and M \|th order squeezing of the k states are studied. The result shows that these states may form a complete Hilbert space. There is antibunching effect in all of the states, and the M \|th [M=(n+1/2)k; n=0,1,2,\:] squeezing effects exist in all of the k states when k is even.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2002年第9期1983-1988,共6页
Acta Physica Sinica
基金
国家自然科学基金 (批准号 :10 0 740 72 )
山东省自然科学基金资助项目~~