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Journal of Shangluo University

Higher-Power Sum Squeezing of a New Kind of Two-State Superposition Multimode Functional Superposition State Light Field

Yang Zhi-yong

Published Jan 1, 2005• 0 citations
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Abstract

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.

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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

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.

Journal of Northwest University•Jan 1, 2004•0 citations
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.
It is constructed in this paper that the four-states superposition multimode functional superposition state light-field |Ψ (4) *(f j) q composed of four multimode functional coherent state through equal intensity.Utilized the unequal-power sum squeezing theory,the properties of unequal-power sum squeezing of the state |Ψ (4) *(f j) q is studied,and it is found,when the add of squeezing number,the spatial distribution function of classical initial phase of each vertical order,the spatial distribution function of classical intensity of each mode and other parameters satisfied to different conditions,the state |Ψ (4) *(f j) q can present certain power unequal-power sum squeezing,the squeezing degree and depth of each mode are intensively connected with the spatial distribution function of classical initial phase of each vertical order and the spatial distribution function of classical intensity of each mode of the state |Ψ (4) *(f j) q.
It is constructed that the four-state superposition multimode functional superposition state light-field│Ψ(fj)〉q composed of the multimode functional coherent state the multimode complex conjugate functional coherent state and their contrary states by equal probability according to the superposition principle of quantum state in quantum mechanics.By utilizing the theory of multimode squeezed state the characteristics of generalized nonlinear equal-power sum-squeezing of the state is studied and it is found when the product of cavity-mode-number and squeezed number is an odd number the two quadrature components of the state can present symmetry equal-power sum-squeezing effect and the squeezed degree the squeezed depth are related intensively to the classical intensity and initial phase of each mode of the state and other parameters.The further research shown that only the second quadrature component of the state can present sum-squeezing effect if the classical intensity of the four three light-fields of the state │Ψ(fj)〉q according to Hermitian Gaussian distribution.
A special type of multimode functional superposition state light field is structured which is composed of multimode functional coherent state, multimode complex conjugation functional coherent state and their contrary states by equal intensity. The properties of unequal-power amplitude squeezing of the state ｜ψ~((4))_(f_j)〉_q is studied, and it is found that the squeezing degree and depth of each mode of the state are decided by the spatial distribution function of classical intensity of each mode of the state ｜ψ~((4))_(f_j)〉_q. Especially, the unequal-power amplitude squeezing properties are asymmetrical, nonlinear and anisotropic with the change of the spatial distribution function of classical initial phase and classical intensity of each mode of the state (｜ψ~((4))_(f_j)〉_q).
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 that the four-states superposition multimode functional superposition state light-field according to the superposition principle of quantum state in quantum mechanics.The properties of generalized nonlinear unequal-power odd-number-power Y-squeezing of the state was firstly studied in detail by utilizing the multimode squeezed state theory.It is shown that under some certain and fixed conditions,the state can present the effect of any odd-number-power generalized nonlinear unequal-power (2p_j+1)-th-power Y-squeezing (here,p_j=0,1,2,3,…),and the squeezed degree,the squeezed depth,and the squeezed amplitude are intensively nonlinear related to the cavity mode number,the squeezed number,the probability among four states,the spatial distribution function of the classical intnesity and classical amplitude,and the spatial distribution function of the classical initial phase of each mode of the state.Especially,the spatial distribution function of the classical intensity and classical amplitude of the light-field have a direct influence upon the squeezed degree,the squeezed depth,and the squeezed amplitude of generalized nonlinear unequal-power (2p_j+1)-th-power Y-squeezing of the state.
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.