由奇、偶相干态组成的第Ⅱ种四态叠加多模叠加态光场的等阶N次方H压缩特性

利用多模压缩态理论,详细研究了由奇、偶相干态组成的第Ⅱ种四态叠加多模叠加态光场|ψ_o,e⁽⁴⁾Ⅱ>_q的等阶N次方H压缩特性.结果发现:1)当腔模(纵模)总数_q与压缩阶数N之积_qN为偶数时,态|ψ_o,e⁽⁴⁾Ⅱ>_q恒处于等阶N-H最小测不准态;2)当_qN为奇数时,在其它参量的不同组合取定值的条件下,态|ψ_o,e⁽⁴⁾Ⅱ>_q可分别呈现以下几种效应:①某一正交分量呈现等阶N次方H压缩效应,另一正交分量则既不呈现出等阶N次方H压缩效应也不处于等阶N-H最小测不准态;②呈现出"半相干态”效应;③处于等阶N-H最小测不准态;3)经与文献17比较发现本文论及的态|ψ_o,e⁽⁴⁾Ⅱ>_q与态|ψ_o,e⁽⁴⁾Ⅰ>_q之间存在着"压缩简并”现象.

THE PROPERTIES OF THE EQUAL-ORDER Nth POWER H-SQUEEZING OF THE SECOND FOUR-STATE SUPERIMPOSITION MULTI-MODE SUPERIMPOSITION STATE LIGHT FIELD COMPOSED BY ODD AND EVEN-COHERENT STATE

With the application of the theory of multimode squeezing,the properties of the equal-order Nth power H-squeezing of the second four-state superimposition multimode superimposition state light field composed by odd and even coherent state are studied in detail.It is found: 1) when the multiplication of cavity mode (vertical) sum q and squeezing order N,qN is an even number,state |ψ_o,e⁽⁴⁾ Ⅱ>_q always stays in equal-order N-H minimum uncertainty state;2) when qN is an odd mumber,and the combination of other parameter is constant value,state |ψ_o,e⁽⁴⁾,Ⅱ>_q may appear as the following: ① One quadrature component appears as equal-order Nth power H-squeezing action,the other appears neither as equal-order Nth power H-squeezing action nor as equal-order minimum state;② Appear as "half coherent" action;③ Appear as equal-order N-H minimum uncertainty state;3)Compared with Reference 17,it is found that there exists "squeezing degenerate" between the state |ψ_o,e⁽⁴⁾,Ⅱ>_q discussed in this paper and state |ψ_o,e⁽⁴⁾,Ⅰ>_q.