According to the theory of multi-mode squeezed state, the property of equal order N-th power H-squeezing effect on multi-mode light field state of different intensity and unsymmetrical superimpositions is studied. It is found that while the quantization conditions are satisfied by constructed state, two results will be obtained. First, the first and the second quadrature component of the quantum state can always present the effect of periodic changed equal-order N-th power H-sequence. Second, the state can always present equal-order N-th power H-sequence of squeezing occurrence.
According to the theory of multi-mode squeezed state, the property of equal order N-th power H-squeezing effect on multi-mode light field state of different intensity and unsymmetrical superimpositions is studied. It is found that while the quantization conditions are satisfied by constructed state, two results will be obtained. First, the first and the second quadrature component of the quantum state can always present the effect of periodic changed equal-order N-th power H-sequence. Second, the state can always present equal-order N-th power H-sequence of squeezing occurrence.
By utilizing the theory of multi-mode squeezed states, the property is studied on the generalized nonlinear unequal-order N j -th power Y-squeezing on a new type of multi-mode superimposition state light field | Ψ (2) msc q with distinguishable two quantum states. It is found that when squeezed orde N j=2p , no matter what p=2m+1(m=0,1,2,...) ,while the initial phases of corresponding mode φ j(j=1,2,3...,q) , the difference of initial phasas of states [θ (R) nq -θ (I) nq -∑[DD(]qj=1R 2 j] and the range of phonton interence term, etc., the first and the second quadrature component of state | Ψ (2) msc q is a typical multi-mode nonclasical light field. And it can display unequal-order N j -thpower Y-squeezing effects that change periodicall under the other conditions. and the range of phonton interence term, etc., the first and the second quadrature component of state | Ψ (2) msc q is a typical multi-mode nonclasical light field. And it can display unequal-order N j -thpower Y-squeezing effects that change periodicall under the other conditions.
By utilizing the multi-mode squeezing state theory,the properties of the equal-order N-th power Y squeezing of stateare studied.According to the linear superposition principle of quantum mechanics,the fourth kind of four-state superposition multi-mode superposition states light field |Ψ~((4))_0,Ⅳ〉_qis constructed with multi-mode complex conjugate-odd coherent state(|Ψ~((2))_0,Ⅳ〉_q) and imaginary-odd coherent state(|Ψ~((2))_i,O〉_q).The new properties of the equal-order N-th power Y squeezing of state |Ψ~((4))_0,Ⅳ〉_qare found.When squeezing order Nis an even number,initial phase φ_j and initial phase difference θ_1-θ_2 indifferent conditions,1) When N=4m(m=1,2,3,…) the first orthogonal phase components of state |Ψ~((4))_0,Ⅳ〉_qrepresents the equal-order N-th power Y squeezing;2).When N=4m′-2(m′=1,2,3,…),the second orthogonal phase components of state |Ψ~((4))_0,Ⅳ〉_qrepresents N-th power Y squeezing effects.
Based on the superposition theory in the quantum mechanics, the multi-mode superposition light field state is constituted by two nonsymrnetry multi-mode coherent states and which intensities are unequal. By using higer-order squeezing theory in multi-mode states, the equal-power Nth power H-squeezing properties of the is studied. It is found that when the certain phase conditions are satisfied,the two quardrature phase components in the present alternately equal-power Nth power H-squeezing effect which changes periodically, whether qN which is the product of cavity-mode total number q and squeezing -order N is odd number or even number.
In the paper, the properties of equal-order N-th power H-squeezing in a kind of intense asymmetrical multimode superposition state light field |Ψ (ab) I q with the superposition of macroscopically distinct two quantum states is studied in detail, By utilizing the theory of multimode squeezed states. It is found that if the products of squeezed order number N and cavity mode number q is an even number, under some conditions the state |Ψ (ab) I q can also present the effects of equal-order N-th Power H-squeezing in the first positive ponderance or second pvsitive ponderance.
The properties of equalpower Nth power X squeezing of the first enen number mode fourstate superimposition multimode superimposition state,which is composed of the linear super positions of the multimode even and odd coherent state that they have as same as even number mode,was studied based on the theory of multimode squeezed states.The results show when the qN(q,cavity mode number) is even number,and the photon numbers nj of any mode is less than N,two quadrature phase components of the state appear as equalorder Nth X squeezing in same time;when qN is odd number,njN, and also other necessary conditions the two quadrature phase components of the state present the equal power Nth power Xsqueezing effect.
In this paper it is constructed a new type of unequalled-intensity unsymmetric multi-mode superposition state light field│Ψ (ab) 〉 q ,which is made of the linear superposition of macro scopically distinct two quantum states named the multi-mode imaginary conjugate coherent state│iZ j(a) 〉 q and the contrary state of multi -mode imaginary conjugate coherent state│iZ j(a) 〉 q respectively.By using the general theory of multi-mode squeezed state,the property of generalized nonlinear equal-power N-th power H-squeezing of the state│Ψ (ab) 〉 q mentioned above is studied firstly in detail.It is found that:(1).In the case of if Z j(a) ≠Z j(b) ,whether the q·N,the products of the cavity-mode number q and the squeezed power number N,is an even or odd number,the state│Ψ (ab) 〉 q can always presents equal-power N-th power H-squeezing effect.(2).When Z j(a) =Z j(b) and q·N is an odd number,the state│Ψ (ab) 〉 q can present the phenomenon of equal-power N-th power H-squeezing degenerate.