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Journal of Shaanxi Normal University

Equal-power H-squeezing of generalized electric field component in multimode coherent state light field of functional with superposition of three macroscopically distinct quantum states

Bai Shao-min

Published Jan 1, 2004• 0 citations
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Abstract

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.

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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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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.

Chinese journal of atomic and molecular physics•Jan 1, 2005•0 citations

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

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.

Journal of Yanan University•Jan 1, 2004•0 citations

Higher-Power sum squeezing of generalized electric field component in the first kind of multimode superposition state light field with superpositions of macroscopically distinct three quantum states

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The first kind of the three state superposition multimode superposition state light field ψ(3)1q is constructed that is composed of multimode coherent state light field {Zj}q, multimode vacuum state light field {0j}q and contrary state {-Zj}q of multimode coherent state light field {Zj}q and that is based on the linear superposition principle of quantum state in quantum mechanics. Then the multimode squeezed state theory is utilized to study the effects of equalpower higherpower sum squeezing of generalized electric field component in the state ψ(3)1q . It is found that under certain and fixed conditions, the generalized electric field component (or the second perpendicular phase component) of the state ψ(3)1q can always display generalized nonlinear equalpower oddnumbermode with evennumberpower, evennumbermode with oddnumberpower, evennumbermode with evennumberpower, or oddnumbermode with oddnumberpower higherpower sum squeezing effects respectively and periodically.

Journal of Shaanxi Normal University•Jan 1, 2003•0 citations

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

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

Bai Shao-min

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.

Jiguang zazhi•Jan 1, 2006•0 citations
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.
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.
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 first kind of the three state superposition multimode superposition state light field ψ(3)1q is constructed that is composed of multimode coherent state light field {Zj}q, multimode vacuum state light field {0j}q and contrary state {-Zj}q of multimode coherent state light field {Zj}q and that is based on the linear superposition principle of quantum state in quantum mechanics. Then the multimode squeezed state theory is utilized to study the effects of equalpower higherpower sum squeezing of generalized electric field component in the state ψ(3)1q . It is found that under certain and fixed conditions, the generalized electric field component (or the second perpendicular phase component) of the state ψ(3)1q can always display generalized nonlinear equalpower oddnumbermode with evennumberpower, evennumbermode with oddnumberpower, evennumbermode with evennumberpower, or oddnumbermode with oddnumberpower higherpower sum squeezing effects respectively and periodically.
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.
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.