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Acta Sinica Quantum Optica

Effects of Generalized Nonlinear Higher-power Amplitude Squeezing of Generalized Electric Field Components in the Multimode State Light Fields with Asymmetrical Superposition

孙中禹 SUN Zhong-yu

Published Jan 1, 2018• 0 citations
Publisher
DOI
10.3788/jqo20182404.0102

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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.

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Generalized Nonlinear Unequal-Power Higher-Power Amplitude Squeezing of Asymmetrical Multimode Functional Super-position State Light-Field with Superposition of Three Macroscopically Distinct Quantum States——Effect of generalized nonlinear unequal-Power

Bai Shao-min

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.

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Squeezing in multi-mode nonlinear optical state truncation

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Effects of Generalized Nonlinear Higher-power Amplitude Squeezing ofGeneralized Electric Field Components in the Multimode State LightFields with Quasi-symmetrical Superposition

孙中禹 SUN Zhong-yu, 杨志勇 YANG Zhi-yong, 杨春燕 YANG Chun-yan

The light field state |ψ(5)(fj)〉q,a five states superposition multimode quantum functional superposition,that is formed by linearly superposing the multi-mode vacuum state |{0j}〉q and four generalized multimode functional coherent states |{f(m)j(x,y,z)}〉q(m=1,2,3,4) and the properties of the GN unequal-power higher-power Nj-power Y-S effects is further studied generally.The results indicate that ① the state |ψ(5)(fj)〉q is a general multimode nonclassical light field of five functional coherent states superposition,when the state |ψ(5)(fj)〉q is a unequal intensity quasi-symmetrical superposition,while some certain conditions are satisfied,the generalized electric field components of the state |ψ(5)(fj)〉q can display any unequal-power GN Nj-power amplitude squeezing effect.② the any quasi-symmetrical spatial distribution of the classical intensity and the classical amplitude,and the spatial arbitrary distribution characterization of the classical amplitude and the classical initial phase of light field in |ψ(5)(fj)〉q would have a direct influence upon the squeezing results and squeezing degree of the unequal-power amplitude squeezing effects presented by the state |ψ(5)(fj)〉q.

Acta Sinica Quantum Optica•Jan 1, 2013•0 citations
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.
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.
The light field state |ψ(5)(fj)〉q,a five states superposition multimode quantum functional superposition,that is formed by linearly superposing the multi-mode vacuum state |{0j}〉q and four generalized multimode functional coherent states |{f(m)j(x,y,z)}〉q(m=1,2,3,4) and the properties of the GN unequal-power higher-power Nj-power Y-S effects is further studied generally.The results indicate that ① the state |ψ(5)(fj)〉q is a general multimode nonclassical light field of five functional coherent states superposition,when the state |ψ(5)(fj)〉q is a unequal intensity quasi-symmetrical superposition,while some certain conditions are satisfied,the generalized electric field components of the state |ψ(5)(fj)〉q can display any unequal-power GN Nj-power amplitude squeezing effect.② the any quasi-symmetrical spatial distribution of the classical intensity and the classical amplitude,and the spatial arbitrary distribution characterization of the classical amplitude and the classical initial phase of light field in |ψ(5)(fj)〉q would have a direct influence upon the squeezing results and squeezing degree of the unequal-power amplitude squeezing effects presented by the state |ψ(5)(fj)〉q.