两不同奇相干态组成的第Ⅲ种四态叠加多模叠加态光场的等阶N次方H压缩

本文构造了由两不同奇相干态组成的第种四态叠加多模叠加态光场|ψ_o⁽⁴⁾,Ⅲ〉_q.利用新近建立的多模压缩态理论,详细研究了态|ψ_o⁽⁴⁾,Ⅲ〉_q的广义非线性等阶N次方H压缩特性,结果发现由多模奇相干态|ψ,_o〉_q和多模虚奇相干态|ψ_i⁽²⁾,_o〉_q这两者线性叠加所组成的新量子光场态、|ψ_o⁽⁴⁾,Ⅲ〉_q是一种典型的非经典光场.1)当腔模总数q与压缩阶数N的乘积q·N为偶数、且qN=4m(m=1,2,3,…,…)时,态|ψ_o⁽⁴⁾,Ⅲ〉_q恒处于等阶N-H最小测不准态,与其它参量的取值无关;2)当qN为偶数、且qN=4m-2(m=1,2,3,…,…)时,(i)态|ψ_o⁽⁴⁾,Ⅲ〉_q可呈现等阶N次方H压缩效应,其两正交分量的压缩特性呈现周期性变化的、互补对称关系;(ii)态|ψ_o⁽⁴⁾,Ⅲ〉_q可呈现“半相干态”效应.3)当qN为奇数时,态|ψ_o⁽⁴⁾,Ⅲ〉_q始终不呈现等阶N次方H压缩效应,也不处于等阶N-H最小测不准态,但在一定条件下可呈现“半相干态”效应.

EQUAL-ORDER N-TH POWER H-SQUEEZING OF THE THIRD FOUR-STATE SUPERIMPOSITION MULTIMODE SUPERIMPOSITION STATE LIGHT FIELD COMPOSED BY TWO DIFFERENT ODD COHERENT STATE *

According to the linear superimposition principle in quantum mechanics,a new multimode superimposition light field |ψ_o⁽⁴⁾,Ⅲ〉_q composed by two different odd coherent state |ψ,_o〉_q and |ψ_i⁽²⁾,_o〉_q.Based on the multimode squeezed state theory,the properties of equal N-th power H-squeezing of state |ψ_o⁽⁴⁾,Ⅲ〉_q is studied,and it is found that:1)when qN=4m(m=1,2,3,...,...),the state |ψ_o⁽⁴⁾,Ⅲ〉_q always stayed in equal order N-H minimum uncertainty state;2)when qN=4m-2(m=1,2,3,...,...),under some conditions,the state |ψ_o⁽⁴⁾,Ⅲ〉_q appears as "half coherent state";under other different conditions,the state |ψ_o⁽⁴⁾,Ⅲ〉_q appears as equal order N-th power H-squeezing action;3)when qN is an odd number,the state |ψ_o⁽⁴⁾,Ⅲ〉_q appears neither as equal order N-th power H-squeezing action nor as equal order N-H minimum uncertainty state,but,under some conditions,appears as "half coherent state".