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Journal of Xi'an University of Post and Telecommunications

N-th power H-squeezing of generalized magnetic field in multimode superpositon state light-field with three coherent states

Lei Xiao-li

Published Jan 1, 2006• 0 citations
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Abstract

Three-state superposition multimode superposition state lightfield is constructed by the linear superposition of multimode coherent state,multimode complex conjugate coherent state and its contrary state.Through multimode squeezing theory,the characteristics of generalized magnetic field equal power N-th power H-squeezing are studied.It is found that,when the squeezed power number is even,and when the initial phases of each mode,the initial phase differences between states,and the sum of the average number for initial phase modulation of each state change continuously between certain closed intervals,then the generalized magnetic field component can always present the effect of periodically changing and generalized non-linear equal-power even-number-power H-squeezing.

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Chinese Journal of Quantum Electronics•Jan 1, 2005•0 citations
Three-state superposition multimode superposition state lightfield is constructed by the linear superposition of multimode coherent state,multimode complex conjugate coherent state and its contrary state.Through multimode squeezing theory,the characteristics of generalized magnetic field equal power N-th power H-squeezing are studied.It is found that,when the squeezed power number is even,and when the initial phases of each mode,the initial phase differences between states,and the sum of the average number for initial phase modulation of each state change continuously between certain closed intervals,then the generalized magnetic field component can always present the effect of periodically changing and generalized non-linear equal-power even-number-power H-squeezing.
By utilizing the theory of multimode squeezed states established recently, the generalized nonlinear even number power equal-power N-th power Y-squeezing effects of generalized magnetic-field component in the new kind of multimode quantum light-field state (｜Ψ~((3))〉_q) is studied firstly in detail, which is composed of the linear superposition of macroscopically distinct three quantum states named multimode complex conjugation imaginary coherent state, the contrary state of multimode complex conjugation imaginary coherent state and multimode complex conjugation coherent state. It is found that under certain and fixed conditions, the generalized magnetic-field component in the state ｜Ψ~((3))〉_q can always display the effects of even number power generalized nonlinear equal-power N-th power Y-squeezing.
It is constructed that the sixth kind of multimode superposition light field statel(3)3, which is made of the linear superpositions of macroscopically distinct three quantum state named multimode complex conjugation coherent state 1(Z),the contrary state l{-Zj}, of multimode complex conjugation coherent l{Zj}, and multimode coherent state 1{Z}),.By using the theory of multitmode squeezed states,the generalized nonlinear equal-order 2p-th power Y-squeezing effects of generalizde magnetic field component in the state 6 ), mentioned is studied firstly in detail.lt is found that:if the squeezed rcumber N=2p, certain conditions are satisfied respectively by the initial phase (here, j=1,2,3,……,q)of each mode in the state , by the initial phase difference (θ3-θ1), (θ3-θ2) between any two components in the , and by the sum of mean photon-numbers of all the single-mode coherent state light field which is modulated by the intial phase cpj of each mode,the generalized magnetic field component in the state can always display the effects of even-number generalized nonlinear equal-order 2p-th power y-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.
It is constructed that multimode superposition state light field |Ψ(5)〉q which is composed of the linear superposition of five macroscopically distinguishable quantum states named multimode vacuum state,multimode complex conjugation imaginary coherent state,the contrary state of multimode complex conjugation imaginary coherent state,multimode complex conjugation coherent state,and the contrary state of multimode complex conjugation coherent state.By utilizing the theory of multimode squeezing states established recently,it is found that the state |Ψ(5)〉q is a type of five state superposition multimode nonclassical light field,and under certain and fixed conditions,the generalized electric-field component in the state |Ψ(5)〉q can display the effects of generalized nonlinear equal-power 4m-th power H-squeezing which changes periodically.
It is constructed in this paper that the three-states superposition multimode functional superposition state light field ｜ψ~((3))_f〉_q is made up of the multimode vacuum state ｜{0_j}〉_q, and the two different multimode complex functional coherent states ｜{f~~((a)*)_f(x,y,z)}〉_q and ｜{f~~((b)*)_f(x,y,z)}〉_q which have rather different spatial intensity distribution characteristic according to the superposition principle of quantum state in quantum mechanics. The properties of equal-power higher-power amplitude-squeezing (Y-squeezing) of generalized magnetic field component of the state ｜ψ~((3))_f〉_q is studied firstly by utilizing the multimode squeezed state theory. It is shown that under a series of fixed conditions, the generalized magnetic-field component of the state ｜ψ~((3))_f〉_q can display the effect of generalized nonlinear equal-power higher-power Y-squeezing which changes periodically and alternatively; and the asymmetrical spatial distribution of the classical intensity and the classical amplitude, and the spatial distribution features of the initial classical phase of light-field in the state ｜ψ~((3))_f〉_q would have a direct influence upon the squeezed degree of equal-power higher-power Y-squeezing present by the generalized magnetic-field component in the state ｜ψ~((3))_f〉_q.
In this paper, the multimode squeezed state theory is utilized to study the characteristics of generalized nonlinear-unequal-power higher-power sum-squeezing of generalized magnetic-field component in the state |ψ(f)(2)q made up of the linear superposition of multimode functional coherent state |{fj(x,y,z)}q and its contrary state |{-fj(x,y,z)}q according to the superposition principle of quantum state in quantum mechanics. It is found that: 1) under the condition of the sum of squeezing-power-number being an any even-number, thestate |ψ(f)(2)q can always stay in the generalized nonlinear unequal-power Nj-H minimum uncertainty state;and 2) under the condition of the sum of squeezing-power-number being an anyodd-number, while some other fixed conditions are satisfied by the state |ψ(f)(2)q the state mentioned can display the effects of generalized nonlinear unequal-power Nj-th power H-squeezing that changes periodically and alternatively.