两种特殊四态叠加多模叠加态光场的等N次幂H压缩

The Equal-order N-th Power Y-Squeezing of Two Kinds Special Four-state Superposition Multi-mode Superposition Light Fields

根据线性叠加原理 ,用多模相干态 | {Zj}〉q,| { -Zj}〉q 及其复共轭 | {Z j }〉q 和| { -Z j}〉q 组成了两种四态叠加多模叠加态光场 |Ψ( 4)oe Ⅵ〉q 和 |Ψ( 4)oe Ⅶ〉q,利用多模压缩态理论研究了它们的等N次幂H压缩 ,结果发现 :态 |Ψ( 4)oe Ⅵ〉q 和 |Ψ( 4)oe Ⅶ〉q 具有完全相同的等N次幂H压缩规律 ;当压缩幂次N与腔模总数 q之积 ,即 qN为偶数时 ,态 |Ψ( 4)oe Ⅵ〉q 和 |Ψ( 4)oe Ⅶ〉q 恒处于等幂次N H最小测不准态或呈现“半相干态效应” ;当 qN为奇数时 ,在不同条件下 ,态 |Ψ( 4)oe Ⅵ〉q和|Ψ( 4)oe Ⅶ〉q 可以呈现三种不同状态 :第一正交分量呈现等N次幂H压缩 ;第二正交分量呈现等N次幂H压缩 ;可呈现“半相干态效应” .

According to the linear superposition principle mechanics,the two kinds special four state superposition multi mode superposition state light field |Ψ (4) oe Ⅵ> q and |Ψ (4) oe Ⅶ> q are composed by multi mode coherent states |{Z j}> q,|{-Z j}> q and their conjugation |{-Z  j}> q and |{Z  j}> q,their N th power H squeezing feature are discussed by the multi mode squeezing state theory.It is found that:1)States |Ψ (4) oe Ⅵ> q and |Ψ (4) oe Ⅶ> q represent the same N th power H squeezing regulars. 2)When qN is even number states |Ψ (4) oe Ⅵ> q and|Ψ (4) oe Ⅶ> q represent equal order N H minimum uncertainty states or half coherent states effect. 3)When qN is odd number,under different conditions states|Ψ (4) oe Ⅵ> q and |Ψ (4) oe Ⅶ> q represent some states by follows: a. The first quadrature represent equal order N th power H squeezing; b. The second quadrature represent equal order N th power H squeezing; c. States |Ψ (4) oe Ⅵ> q and |Ψ (4) oe Ⅶ> q represent half coherent states effect.