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Jiguang zazhi

Effect of non-equal-power sum-squeezing in the superposition multimode functional superposition state light field

Bai Shao-min

Published Jan 1, 2006• 0 citations
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Abstract

The properties of non-equal-power higher-power sum-squeezing(H-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 non-equal-power higher-power H-squeezing which changes periodically and alternatively;and the any asymmetrical spatial distribution of the classical amplitude and classical phase of light-field in the state ｜Ψ~(3)_f_q would have a direct influence upon the squeezed degree and squeezed depth of non-equal-power higher-power H-squeezing present by the generalized magnetic-field component in the state ｜Ψ~(3)_f_q.

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Effect of equal-power higher-power Y-squeezing of asymmetrical multimode functional superposition state light-field: Properties of equal-power higher-power Y-squeezing of generalized electric-field component

Bai Shao-min

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Journal of Shangluo University•Jan 1, 2005•0 citations
The properties of non-equal-power higher-power sum-squeezing(H-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 non-equal-power higher-power H-squeezing which changes periodically and alternatively;and the any asymmetrical spatial distribution of the classical amplitude and classical phase of light-field in the state ｜Ψ~(3)_f_q would have a direct influence upon the squeezed degree and squeezed depth of non-equal-power higher-power H-squeezing present by the generalized magnetic-field component in the state ｜Ψ~(3)_f_q.
It was constructed firstly that the three-states superposition multimode functional superposition state light-field|ψ~((3))_f_q was made up of the two different multimode complex conjugate functional coherent state |{f~(((a))~*)_j(x,y,z)}_q and |{f~(((b))~*)_j(x,y,z)}_q which had rather different spatial intensity distribution characteristics and the multimode vacuum state |{0_j}_q according to the linear superposition principle of quantum state in quantum mechanics. And then the multimode squeezed state theory was utilized to study the effects of generalized nonlinear unequal-power higher-power Y-squeezing of generalized magnetic-field component in the state|ψ~((3))_f_q. It was shown that under a series of fixed conditions,the generalized magnetic-field component of the state|ψ~((3))_f_q can always display the effects of generalized nonlinear unequal-power higher-power Y-squeezing which changes periodically and alternatively; the any asymmetrical spatial distribution profile of the classical intensity and the classical amplitude,and the any spatial distribution features of the initial classical phase of the quantum light-field state|ψ~((3))_f_q would have a direct influence upon the squeezed degree and squeezed depth of generalized nonlinear unequal-power higher-power Y-squeezing present by the generalized magnetic-field component in the state |ψ~((3))_f_q.
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.
It is Constructied in this paper that the three_states superposition multimode functional superposition state light field ｜ψ~((3))_f〉_q is made up of the two different multimode complex functional coherent states ｜｛f~((a))_j(x,y,z)｝〉_q and ｜｛f~((b))_j(x,y,z)｝〉_q which have rather different spatial intensity distribution characteristic, and the multimode vacuum state ｜｛0_j｝〉_q according to the superposition principle of quantum state in quantum mechanics. the properties of equal_power higher_power H_squeezing of generalized electric field component (or the second perpendicular phase 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 electric_field component of the state( ｜ψ~((3))_f〉_q) can display the effect of generalized nonlinear equal_power higher_power H_squeezing which changes periodically and alternatively; and the any asymmetrical spatial distribution of the classical intensity and the classical amplitude, and the any spatial distribution features of the initial classical phase of light_field in the state ｜ψ~((3))_f〉_q will have a direct influence upon the squeezed degree and squeezed depth of equal_power higher_power H_squeezing present by the generalized electric_field component in the state ｜ψ~((3))_f〉_q.
Aim Research properties of equal-power higher-power Y-squeezing of generalized electric-field component (or the second perpendicular phase component) of asymmetrical multimode functional superposition state light-field with superposition of three macroscopically distinct quantum states,proffer theory reference for experiment research of quantum optical communication.Methods It is constructed that the three-states superposition multimode functional superposition state light-field according to the superposition principle of quantum state in quantum mechanics, the properties of equal-power higher-power Y-squeezing of generalized electric field component of the state are studied firstly by utilizing the multimode squeezed state theory.Results Formula (11),(13) and (17) give the effect of generalized nonlinear at will odd numbers and even number equal-power Y-squeezing of generalized electric-field component of asymmetrical multimode functional superposition state light-field with superposition of three macroscopically distinct quantum states under the three kinds situation by course of define of generalized nonlinear equal-power N-power Y-squeezing multimode.Conclusion ① Under a series of fixed conditions, the generalized electric-field component of the asymmetrical multimode complex conjugate functional superposition state light-field can display the effect of generalized nonlinear equal-power higher-power Y-squeezing which changes periodically and alternatively.② The any asymmetrical spatial distribution of the classical intensity and the classical amplitude, and the any spatial distribution features of the initial classical phase of light-field in the state would have a direct influence upon the squeezed degree and squeezed depth of equal-power higher-power Y-squeezing present by the generalized electric-field component in the state.
Utilized the general theory of multimode squeezed state, the squeezing properties of a new kind of multimode superposition state which composed by multimode functional coherent state and multimode functional imaginary coherent state is studied, and it is found that, when the products of sum-number of cavity-modes and squeezing number is an even number, the state can present equal-power sum squeezing effect in some special equal-phase-surface; The spatial distribution of classical intensity of the light-field has a direct influence upon the squeezed degree and the squeezed depth of generalized nonlinear equal-power sum-squeezing of the state ,and with the change of the spatial distribution of classical intensity of each mode, the squeezed degree and the squeezed depth of each mode of the state are anisotropic in spatial distribution.