多模偶相干态光场中的N次方Y压缩与N次方H压缩特性研究

本文根据新近建立的多模辐射场的广义非线性等阶高阶压缩理论,对多模偶相干态光场冲|ψ,e〉_q中的N次方Y压缩、N次方H压缩、N-Y最小测不准态以及N-H最小测不准态等进行了详细研究。结果表明:1)当N为偶数时,态|ψ,e〉_q恒处于N-Y最小测不准态;当N为奇数时,态|ψ,e〉_q在一定条件下存在着周期性变化的、任意阶的N次方Y压缩效应,2)当q·N为偶数时,态|ψ,e〉_q恒处于N-H最小测不准态。当q·N为奇数时,在另外的条件下,态|ψ,e〉_q存在着周期性变化的、任意阶的N次方H压缩效应。3)N次方Y压缩效应与N次方H压缩效应两者的压缩程度和深度均与几率幅y_q^(e)、压缩参数R_j、各模的初始相位ψ_j(或者初始相位和∑_j=1^qψ_j)、压缩阶数N及腔模总数q等非线性相关,后者与上述诸参量的非线性关联程度要比前者的更强。

THE PROPERTIES OF BOTH N-TH POWER Y-SQUEEZING AND N-TH POWER H-SQUEEZING IN THE MULTI-MODE EVEN-COHERENT STATE LIGHT FIELD

In this paper, the properties of N-th p0wer Y-squeezing, N-th power H-squeezing, N-Yminimum uncertainty state and N-H minimum uncertainty state in the multi-mode even-coherent statelight field t W,e), is studied in detail,that is based upon utilizing the theory 0f generalized nonlinearequal-order higher-order squeezing of multi-mode radiative light field, which is proposed by YangZhiyong and Hou Xun recently, lt ls f0und that, l ), When N, the number of squeezing-order, is evennumber, the state, W, e), is always stayed in N-Y minimum uncertainty state; and when N is 0ddnumber, the state I W, e ),, under some certain c0nditi0ns, can present any order N-th p0wer Y-squeezing which changes periodically1 2 ) When q. N, the products of cavity m0des number andsqueezingxirder number, is even number, the state W, e, is also always stayed in N-H minimumuncertainty state,and when q. N is odd number under s0me other c0nditi0ns the state l W,e), can als0present any order N-th power H-squeezing that changes periodically to0 1and 3) the squeezing depthand degree of both N-th power Y-squeezing and N-th p0wer H-squeezing are related nonlinearly to theprobability amplitude ,to the squeezing parameter R,,to the initial phase of each mode or to thesum of the initial phase of each mode to the squeezing order number N and to the cavity-modenumber q,the later is more intensive than the former.