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

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.