两种特殊四态叠加多模叠加态光场的等N次幂H压缩

根据线性叠加原理,用多模相干态|{Z_j^*}〉q,|{-Z_j^*}〉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_oe⁽⁴⁾Ⅵ〉q和|Ψ(4)oeⅦ〉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_oe⁽⁴⁾Ⅵ〉q和|Ψ(4)oeⅦ〉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_oe⁽⁴⁾Ⅵ〉q和|Ψ(4)oeⅦ〉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_oe⁽⁴⁾Ⅵ〉q和|Ψ(4)oeⅦ〉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".

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

According to the linear superposition principle mechanics,the two kinds special four state superposition multi mode superposition state light field |Ψ_oe⁽⁴⁾Ⅵ〉q and |Ψ_oe⁽⁴⁾Ⅵ〉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_oe⁽⁴⁾Ⅵ〉q and |Ψ_oe⁽⁴⁾Ⅵ〉q represent the same N-th power H squeezing regulars. 2)When qN is even number states |Ψ_oe⁽⁴⁾Ⅵ〉q and|Ψ_oe⁽⁴⁾Ⅵ〉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_oe⁽⁴⁾Ⅵ〉q and |Ψ_oe⁽⁴⁾Ⅵ〉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_oe⁽⁴⁾Ⅵ〉q and |Ψ_oe⁽⁴⁾Ⅵ〉q represent half coherent states effect.