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Acta Sinica Quantum Optica

Study on the Properties of Generalized Nonlinear Difference Squeezing in a Kindof Intensity Asymmetrical Multi-mode Superposition State Light Field with theSuperposition of Distinguishable Two Quantum State

Wang Ju-xia

Published Jan 1, 2002• 0 citations
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Abstract

The property of N-th power X-squeezing in a kind of intensity asymmetrical multi mode superposition state light field with the superposition of distinguishable two quantum state is firstly studied in detail by using of the general theory of generalized nonlinear difference squeezing in multi mode radiation field. It is found that the kind of multi mode superposition state light field mentioned above presents generalized nonlinear difference-squeezing effect (that is N-th power X-squeezing effect) that changes periodically if some conditions are satisfied respectively by the initial phase of each mode, or by the initial phase difference between the two components, or by photons of each mode, or by squeezing power. By further analysis demonstrate, it is demonstrated that the properties of N-th power X-squeezing in the first and second kind of multi mode superposition state light field are only particular examples of the discussion in this paper under certain conditions.

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Acta Sinica Quantum Optica•Jan 1, 2002•0 citations
The property of N-th power X-squeezing in a kind of intensity asymmetrical multi mode superposition state light field with the superposition of distinguishable two quantum state is firstly studied in detail by using of the general theory of generalized nonlinear difference squeezing in multi mode radiation field. It is found that the kind of multi mode superposition state light field mentioned above presents generalized nonlinear difference-squeezing effect (that is N-th power X-squeezing effect) that changes periodically if some conditions are satisfied respectively by the initial phase of each mode, or by the initial phase difference between the two components, or by photons of each mode, or by squeezing power. By further analysis demonstrate, it is demonstrated that the properties of N-th power X-squeezing in the first and second kind of multi mode superposition state light field are only particular examples of the discussion in this paper under certain conditions.
By using of general theory of unequalledpower squeezing in multimode radiation field,the property of unequalledpower difference squeezing (that is Njth power Xsqueezing) in the second kind of multimode light field state of superposition state with distinguishable two quantum states is firstly studied in detail.It is found that the second kind of multimode superposition state presents generalized nonlinear twoorder unequalledpower Njth power Xsqueezing effect that changes periodically under the certain conditions,and found the phenomenon of strange squeezing.The results demonstrate again that the multimode superposition state mentioned above is a kind of typical multimode nonclssical light field based on the document 5.
In this paper,the multimode squeezed state theory established by yang Zhiyong and Hou Xun and published in Acta Photonica Sinica is utilized to study the effects of Generalized nonlinear N-th power sum squeezing is seventh kind of Multimode superposition state light field which is composed of the linear superpositions of multimode coherent state and contrary state of multimode imaginary coherent state . It is found that under the conditions of the products q ·N=2p and p=2m+l(m=0,1,2,3, …)where q represents the cavity-mode number and N represents the squeezing power number,while some certain quantization conditions are satisfied by the initial phase sum of each mode,and while the mixing phase sum + made of the initial phase difference( ) between the two components of the state and the mean photon number of each multimode coherent state light field mentioned above changes continuously in the foxed and closed region,the state can always present the effects of generalized nonlinear N-th power sum squeezing that chandes periodically.This shows that the state is a typical multimode nonchasical light field.
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.
According to the Linear superpositon principle in quantum mechanics ,the ninth kind of two ligtht Field is constructed that is composed of multimode vaccum state light field And then the multimode squeezed state theory suggested by Yang Zhiyong and Hou Xun and Published in Acta Photonica Sinica is utlized to study the properties of generalized nonlinear equal- power N-th power Y-squeeting of the state mentioned above. It is found that ①、whether the squeezing-power-number N is an odd-number or an even-number, while some certain quantization conditions are satisfied by the initial phase of each mode and by the initial phase difference( ) between two components of the state respectively ,the state can always present any odd-number power any even-number N-th power Y-squeezing effects which changes periodically. ② Compared with the reference [11] ,the state constructed in this paper is rathier different from the state constructed in reference [11] ,under some fixed conditions the states and can display the phenomena of N-th power Y-similitude- squeezing and N-th power Y-degenerate-squeezing.
The general theory of generalized nonlinear unequal-power higher-power difference-squeezing of Multimode Radiation Light-Field(abbr.MRLF)is utilized to study the property of second-order unequal-power higher-power difference-squeezing(namely,N_j-th power X-squeezing)of two-state-superposition multimode superposition state light-field Ψ(2)_1_ 2q,which is composed of 2q-modes coherent state and its contrary state according to the state superposition principle in quantum mechanics.It is found that under some certain and fixed conditions,the multimode superposition light-field mentioned above can display the effect of N_j-th power X-squeezing.
On the bases of the linear superposition principle of quantum state in quantum mechanics, |ψ (3) 3q -the third kind of the three state superposition multimode superposition state light field is constructed that is composed of linear superposition of multimode complex conjugation coherent state |{Z * j} q ?multimode complex conjugation imaginary coherent state |{iZ * j} q and multimode vaccum state |{0 j} q . By utilizing the theory of multimode squeezed states, the properties of generalized nonlinear unequal-power N j-th power H-squeezing in the state |ψ (3) 3q is studied in detail. It is found that when the sum of the squeezing power of each mode is even number only and certain conditions are satisfied, the first perpendicular phase component and the second one of the state |ψ (3) 3q can always display any power generalized nonlinear unequal-power N j-th power H-squeezing effects that change periodically, respectively.