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The Journal of Light Scattering

The Even-power Y-squeezing of Generalized Electric-field Component of MFSS Light-field with the Three Macroscopically Distinguishable Multimode Quantum Coherent States

Yang Zhi-yong

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

The multimode squeezed state theory is utilized to study the characteristic of equal-power even-power Y-squeezing of the generalized electric-field component on state |ψ_0~(3)〉q of MFSS(multimode functional superposition state) light-field with the three macroscopically distinguishable multimode quantum coherent states,then the influences of any spatial distributions of the light-field classical intensity,classical amplitude and classical phase,and the injected multimode vacuum field upon both squeezed amplitude and squeezed quantity of equal-power even-power Y-squeezing of the generalized electric-field component mentioned above are analyzed and discussed in detail.It is find that that both the quantum interference effect and the quantum entanglement property of multimode light-field are the innate character that can cause equal-power 2m-th power Y-squeezing of the generalized electric-field component on state |ψ_0~(3)〉q.The injected multimode vacuum field can produce direct influence to the effect of equal-power 2m-power Y-squeezing of the generalized electric-field component of MFSS light-field,and it can causes the squeezed effect of the quantum light field to build up,and squeezed amplitude to increase,and squeezed degree to deepen.

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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

Effects of Equal-Power 4m-th-Power H-Squeezing of Generalized Electric-Field Component in Multimode Superposition State Light Field |Ψ~(5)〉_q with Superposition of Five Macroscopically Distinguishable Quantum States

Wan De-quan

It is constructed that multimode superposition state light field |Ψ(5)〉q which is composed of the linear superposition of five macroscopically distinguishable quantum states named multimode vacuum state,multimode complex conjugation imaginary coherent state,the contrary state of multimode complex conjugation imaginary coherent state,multimode complex conjugation coherent state,and the contrary state of multimode complex conjugation coherent state.By utilizing the theory of multimode squeezing states established recently,it is found that the state |Ψ(5)〉q is a type of five state superposition multimode nonclassical light field,and under certain and fixed conditions,the generalized electric-field component in the state |Ψ(5)〉q can display the effects of generalized nonlinear equal-power 4m-th power H-squeezing which changes periodically.

Journal of Beijing Jiaotong University•Jan 1, 2007•0 citations
The multimode squeezed state theory is utilized to study the characteristic of equal-power even-power Y-squeezing of the generalized electric-field component on state |ψ_0~(3)〉q of MFSS(multimode functional superposition state) light-field with the three macroscopically distinguishable multimode quantum coherent states,then the influences of any spatial distributions of the light-field classical intensity,classical amplitude and classical phase,and the injected multimode vacuum field upon both squeezed amplitude and squeezed quantity of equal-power even-power Y-squeezing of the generalized electric-field component mentioned above are analyzed and discussed in detail.It is find that that both the quantum interference effect and the quantum entanglement property of multimode light-field are the innate character that can cause equal-power 2m-th power Y-squeezing of the generalized electric-field component on state |ψ_0~(3)〉q.The injected multimode vacuum field can produce direct influence to the effect of equal-power 2m-power Y-squeezing of the generalized electric-field component of MFSS light-field,and it can causes the squeezed effect of the quantum light field to build up,and squeezed amplitude to increase,and squeezed degree to deepen.
The multimode squeezed state theory is used to analyze and research the effect of both squeezed amplitude and squeezed quantity of equal-power 2m-power Y-squeezing of the generalized electric-field component on multimode functional superposition state light-field upon the injected multimode vacuum field in detail.The findings indicate that the injected multimode vacuum light-field can make the generalized electric-fielcl component of 3MFSS(3 states superposed multimode functional superposition state)light-field appear the Y-sqneezing eggect of 2m-power under the certain condition,can cause the squeezed effect of the quantum light field to build up,and squeezed amplitude to increase,and squeezed degree to deepen.
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.
The multimode squeezed state theory is used to the system researching the effect of the generalized nonlinear high-power Y-squeezing on the Equal-intensity of Two State-superposition multimode quantum entanglement state(2MQES)light-field|ψME(2)〉q in detail.And the effect shows that the generalized nonlinear equal-power odd-power Y-squeezing of the generalized electric-field component and the generalized magnetic-field component of state|ψME(2)〉q can present under the certain condition is further revealed,even squeezed law is similar and both the squeezed amplitude and the squeezed quantity of the generalized magnetic-field component of the quantum light field are bigger than the generalized electric-field component.Finally it is pointed out that both the quantum interference effect and the quantum entanglement property of multimode light-field are the innate character that can cause the effect of equal-power odd-power Y-squeezing the generalized electric-field component and the generalized magnetic-field component of state|ψME(2)〉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 is constructed that multimode superposition state light field |Ψ(5)〉q which is composed of the linear superposition of five macroscopically distinguishable quantum states named multimode vacuum state,multimode complex conjugation imaginary coherent state,the contrary state of multimode complex conjugation imaginary coherent state,multimode complex conjugation coherent state,and the contrary state of multimode complex conjugation coherent state.By utilizing the theory of multimode squeezing states established recently,it is found that the state |Ψ(5)〉q is a type of five state superposition multimode nonclassical light field,and under certain and fixed conditions,the generalized electric-field component in the state |Ψ(5)〉q can display the effects of generalized nonlinear equal-power 4m-th power H-squeezing which changes periodically.