一种新型的多模虚偶相干态光场的等阶N次方Y压缩与等阶N次方H压缩

本文利用新近建立的多模压缩态理论,详细研究了一种新型的多模虚偶相干态光场|Ψ_i,e⁽²⁾>_q的广义非线性等阶N次方Y压缩与等阶N次方H压缩特性.结果发现:1)态|Ψ_i,e⁽²⁾>_q是一种典型的多模非经典光场,当压缩阶数N为奇数时,态|Ψ_i,e⁽²⁾>_q在一定条件下总可呈现出周期性变化的、任意阶的等阶N次方Y压缩效应;当腔模总数q与压缩阶数N这两者的乘积q·N为奇数时,则在一定条件下态|Ψ_i,e⁽²⁾>_q又可呈现出周期性变化的、任意阶的等阶N次方H压缩效应.2)态|Ψ_i,e⁽²⁾>_q的等阶N次方Y压缩与等阶N次方H压缩效应这两者的压缩程度和压缩深度分别与几率幅γ_q^(e)、压缩参数R_j、各模的初始相位φ_j(或者各模的初始相位和 φ_j)、压缩阶数N以及腔模(指纵模)总数q等呈较强的非线性关联,等阶N次方H压缩效应与上述诸参量之间的非线性关联程度要比等阶N次方Y压缩效应的更强.3)多模虚偶相干态光场|Ψ_i,e⁽²⁾>_q与多模偶相干态光场|Ψ_,e>_q及多模复共轭偶相干态光场|Ψ*_,e⁽²⁾>_q这后两者的等阶N次方Y压缩效应和等阶N次方H压缩效应的压缩条件和压缩特性正好相反,这种现象就称为相反压缩.

THE PROPERTIES OF BOTH GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER Y-SQUEEZING AND GENERALIZED NONLINEAR EQUAL-ORDER N-TH POWER H-SQUEEZING IN A NEW TYPE OF MULTIMODE IMAGINARY-EVEN COHERENT STATE LIGHT FIELD

In this paper,the properties of both generalized nonlinear equal-order N-th power Y-squeezing and generalized nonlinear equal-order N-th power H-squeezing in a new type of multimode imaginary even coherent state light field |Ψ_i,e⁽²⁾>_q are studied in detail,by utilizing the theory of multimode squeezed state constructed by Yang Zhiyong and Hon Xun and published in Acta Photonica Sinica recently.It is found that 1).if the squeezed order number N is an odd number,the state |Ψ_i,e⁽²⁾>_q mentioned above can always present any order generalized nonlinear equal-order N-th power Y-squeezing which changes periodically under some certain conditions;and if q·N,the products of the cavity mode number q and the squeezed order number N>,is an odd number,the state |Ψ_i,e⁽²⁾>_q mentioned can also display any order generalized nonlinear equal-order N-th power H-squeezing which changes periodically too.2)the squeezed degree and the squeezed depth of both the generalized nonlinear equal-order N-th power Y-squeezing and the generalized nonlinear equal-order N-th power H-squeezing of the state |Ψ_i,e⁽²⁾>_q are all related intensively and nonlinearly to the probability amplitude r_q^(e),to the squeezing parameter R_j,to the initial phase φ_j of each mode for equal-order N-th power Y-squeezing,to the sum φ_j of the initial phase φ_j of all the modes for equal-order N-th power H-squeezing,to the squeezed order number N,and to the cavity mode number q,and so on.The related nonlinear degree of equal-order N-th power H-squeezing is more intensive than that of equal-order N-th power Y-squeezing.and 3),the squeezing conditions and the squeezing features of both equal-order N-th power Y-squeezing and equal-order N-th power H-squeezing of the multimode imaginary even coherent state |Ψ_i,e⁽²⁾>_q are just contrary to that of the multimode even coherent state |Ψ_,e>_q and the multimode complex conjugation even coherent state |Ψ*_,e⁽²⁾>_q,this phenomenon is so called contrary squeezing.