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Journal of Shangluo University

The Influence of Intensity Gaussian Distribution on Amplitude Squeezing Properties of Multimode Functional Even Coherent State

Yang Zhi-yong

Published Jan 1, 2005• 0 citations
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Abstract

By utilizing the theory of multimode squeezed state,the characteristics of generalized nonlinear equal-power amplitude squeezing of the multimode functional even coherent state is studied,and it is found, when the squeezed number is an odd number,the two quadrature components of the state can present symmetry equal-power amplitude squeezing effect,the squeezed degree,the squeezed depth and the squeezed amplitude are related intensively to the squeezed number,the superposition probability, the classical intensity and initial phase of each mode of the state and other parameters.The further research shown that the conclusions are not completely the same as the theoretical results if the classical intensity of the two three light-fields of the multimode functional even coherent state according to ground mode circular Gaussian distribution.

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Higher-power squeezing in the macroscopically distinct three quantum states superposition multimode functional superposition state light field——On effect of equal-power amplitude-squeezing of generalized magnetic field component

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Chinese journal of atomic and molecular physics•Jan 1, 2005•0 citations
By utilizing the theory of multimode squeezed state,the characteristics of generalized nonlinear equal-power amplitude squeezing of the multimode functional even coherent state is studied,and it is found, when the squeezed number is an odd number,the two quadrature components of the state can present symmetry equal-power amplitude squeezing effect,the squeezed degree,the squeezed depth and the squeezed amplitude are related intensively to the squeezed number,the superposition probability, the classical intensity and initial phase of each mode of the state and other parameters.The further research shown that the conclusions are not completely the same as the theoretical results if the classical intensity of the two three light-fields of the multimode functional even coherent state according to ground mode circular Gaussian distribution.
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.
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 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.
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.
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).
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.