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Journal of Yanan University

Generalized Nonlinear Equal-Power Difference-Squeezing of Generalized Electric-Field Component in the Arbitrary Two-States Superposition Multimode Functional Superposition State Light-Field

Tian Wei

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

The general theory of generalized nonlinear equal-power higher-power difference-squeezing of multimode radiation light-field is utilized to study the properties of equal-power N-power difference-squeezing of generalized electric-field component of the arbitrary two-states superposition multimode functional superposition state light-field.The general theory result is obtained,the properties of equal-power N-power difference-squeezing in two special two-states superposition multimode functional superposition state light-field is discussed.It is shown that:1)When qN is a even-numbers,not appears as the properties of generalized nonlinear equal-power difference-squeezing of generalized electric-field component and not appears as N-j minimum uncertainty state in first kind two-states superposition multimode functional superposition state light-field and imaginary number coherent two-states superposition multimode functional superposition state light-field;2) When qN is a odd-numbers,generalized electric-field component of the arbitrary two-states superposition multimode functional superposition state light-field can display the effect of generalized nonlinear N-power difference-squeezing which changes periodically and alternatively under a series of fixed conditions.

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Generalized nonlinear equal-power difference-squeezing in the arbitrary two-states superposition multimode functional superposition state light-field

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The arbitrary two-states superposition multimode functional superposition state light-field |ψ(2)f〉q is constructed.The general theory of generalized nonlinear equal-power higher-power difference-squeezing of Multimode Radiation Light-Field is utilized to study the properties of equal-power N-power difference-squeezing of generalized magnetic-field component of the state |ψ(2)f〉q.The general theory result is obtained,the properties of equal-power N-power difference-squeezing in two special two-states superposition multimode functional superposition state light-field is discussed.It is shown that:1)When qN is a even-numbers,not appears as the properties of generalized nonlinear equal-power difference-squeezing of generalized magnetic-field component and not appears as N-j minimum uncertainty state in first kind two-states superposition multimode functional superposition state light-field and imaginary number coherent two-states superposition multimode functional superposition state light-field;2) When qN is a odd-numbers,generalized magnetic-field component of the arbitrary two-states superposition multimode functional superposition state light-field can display the effect of generalized nonlinear N-power difference-squeezing which changes periodically and alternatively under a series of fixed conditions.

Journal of Atomic and Molecular Physics•Jan 1, 2008•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

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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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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

Generaled nonlinear unequal-power higher-power H-squeezing of superposition state light-field composed of the two different multimode functional coherent states -On the effects of unequal-power higher-power H-sgueezing of generalized electric-fiel

Wei Shi-xiu

In this paper,the multimode squeezed state theory is utilized to study the characteristics of generalized nonlinear-unequal-power N j -th power H-squeezing of generalized electric-field component in the state |Ψ (2) (f) g, made up of the linear superposition of multimode functional coherent state |{f j (x,y,z) } g and its contrary state |{-f j( x,y,z )} g according to the superposition principle of quantum state in quantum mechanics.It shows the results:under the condition of the sum of squeezing-power-number being an any odd-number,while some other fixed conditions are satisfied by the suate |Ψ (2) (f) g the state |Ψ (2) (f) g can display the effects of any generalized nonlinear unequal-power N j -th power H-squeezing that changes periodically and alternatively.

Jiguang zazhi•Jan 1, 2004•0 citations

The effects of equal-power N-th power H-squeezing of Generalized electric-field component in the new kind of three state superposition multimode quantum superposition state light field

Huijun Wan

By utilizing the theory of multimode squeezed states estabilshed recently, the generalized nonlinear equal-power N-th power H-squeezing properties of generalized electric-field component in the new kind of three state superposition multimode quantum superposition state light field ｜Ψ~((3))〉_q is studied firstly in detail. It is found that under certain and fixed conditions, the generalized electric-field component in the state (｜Ψ~((3))〉_q ) can always display the effects of generalized nonlinear equal-power N-th power H-squeezing which changes periodically.

Chinese journal of atomic and molecular physics•Jan 1, 2004•0 citations

The properties of generalized nonlinear equal-order N-TH power Y-squeezing in the multimode superposition state light field ｜Ψ~((2))〉_q with the superposition of arbitrary two quantum states

Bai Shao-min

By using the theory of multimode squeezed state,the property of generalized nonlinear equal-order N-th power Y-squeezing in the multimode superposition state light field ｜Ψ~((2))〉_q with the superposition of arbitrary two quantum states is studied.It is evinced that the state ｜Ψ~((2))〉_q separately stayed equal-order N-Y minimum uncertainty state、present the effect of half coherent state、the first quadrature component or the second quadrature component present the properties of N-th power Y-squeezing in different conditions.

Journal of Yanan University•Jan 1, 2004•0 citations
The general theory of generalized nonlinear equal-power higher-power difference-squeezing of multimode radiation light-field is utilized to study the properties of equal-power N-power difference-squeezing of generalized electric-field component of the arbitrary two-states superposition multimode functional superposition state light-field.The general theory result is obtained,the properties of equal-power N-power difference-squeezing in two special two-states superposition multimode functional superposition state light-field is discussed.It is shown that:1)When qN is a even-numbers,not appears as the properties of generalized nonlinear equal-power difference-squeezing of generalized electric-field component and not appears as N-j minimum uncertainty state in first kind two-states superposition multimode functional superposition state light-field and imaginary number coherent two-states superposition multimode functional superposition state light-field;2) When qN is a odd-numbers,generalized electric-field component of the arbitrary two-states superposition multimode functional superposition state light-field can display the effect of generalized nonlinear N-power difference-squeezing which changes periodically and alternatively under a series of fixed conditions.
The arbitrary two-states superposition multimode functional superposition state light-field |ψ(2)f〉q is constructed.The general theory of generalized nonlinear equal-power higher-power difference-squeezing of Multimode Radiation Light-Field is utilized to study the properties of equal-power N-power difference-squeezing of generalized magnetic-field component of the state |ψ(2)f〉q.The general theory result is obtained,the properties of equal-power N-power difference-squeezing in two special two-states superposition multimode functional superposition state light-field is discussed.It is shown that:1)When qN is a even-numbers,not appears as the properties of generalized nonlinear equal-power difference-squeezing of generalized magnetic-field component and not appears as N-j minimum uncertainty state in first kind two-states superposition multimode functional superposition state light-field and imaginary number coherent two-states superposition multimode functional superposition state light-field;2) When qN is a odd-numbers,generalized magnetic-field component of the arbitrary two-states superposition multimode functional superposition state light-field can display the effect of generalized nonlinear N-power difference-squeezing which changes periodically and alternatively under a series of fixed conditions.
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.
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.
In this paper,the multimode squeezed state theory is utilized to study the characteristics of generalized nonlinear-unequal-power N j -th power H-squeezing of generalized electric-field component in the state |Ψ (2) (f) g, made up of the linear superposition of multimode functional coherent state |{f j (x,y,z) } g and its contrary state |{-f j( x,y,z )} g according to the superposition principle of quantum state in quantum mechanics.It shows the results:under the condition of the sum of squeezing-power-number being an any odd-number,while some other fixed conditions are satisfied by the suate |Ψ (2) (f) g the state |Ψ (2) (f) g can display the effects of any generalized nonlinear unequal-power N j -th power H-squeezing that changes periodically and alternatively.
By utilizing the theory of multimode squeezed states estabilshed recently, the generalized nonlinear equal-power N-th power H-squeezing properties of generalized electric-field component in the new kind of three state superposition multimode quantum superposition state light field ｜Ψ~((3))〉_q is studied firstly in detail. It is found that under certain and fixed conditions, the generalized electric-field component in the state (｜Ψ~((3))〉_q ) can always display the effects of generalized nonlinear equal-power N-th power H-squeezing which changes periodically.
By using the theory of multimode squeezed state,the property of generalized nonlinear equal-order N-th power Y-squeezing in the multimode superposition state light field ｜Ψ~((2))〉_q with the superposition of arbitrary two quantum states is studied.It is evinced that the state ｜Ψ~((2))〉_q separately stayed equal-order N-Y minimum uncertainty state、present the effect of half coherent state、the first quadrature component or the second quadrature component present the properties of N-th power Y-squeezing in different conditions.