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Journal of Northwest University

The equal-power difference squeezing in the multimode state light field with any amount of states superposition

Wang Ju-xia, Yang Zhi-yong

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

Aim To find out the squeezing conditions theoretically and the properties of equal-power nonlinear difference squeezing in multimode radiation field with any amount of states superposing studied.Methods By utilizing the principle of superposing states in quantum mechanics and the general theory of multimode squeezing states,the quantum fluctuation of the general both electronic and magnetic field component were figured.Results The general expressions of equal-power high-power nonlinear difference squeezing in the multimode state light field with any amount of states superposing was given.Conclusion It was found that all of the formerly studied multimode superposition states are the special examples under the different conditions.

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Journal of Atomic and Molecular Physics•Jan 1, 2008•0 citations

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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

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The properties of the equal-power Y-squeezing of the state |Ψ~((4))〉_q generalized magnetic-field component of four state superposition multimode superposition state light field |Ψ~((4))〉_q are studied in detail by utilizing multimode squeezed state theory.It is found that the generalized magnetic-field component of the state |Ψ~((4))〉_q can present the generalized nonlinear equal-power N times Y-squeezing effect under some certain conditions.

Journal of Shaanxi Normal University•Jan 1, 2005•0 citations
Aim To find out the squeezing conditions theoretically and the properties of equal-power nonlinear difference squeezing in multimode radiation field with any amount of states superposing studied.Methods By utilizing the principle of superposing states in quantum mechanics and the general theory of multimode squeezing states,the quantum fluctuation of the general both electronic and magnetic field component were figured.Results The general expressions of equal-power high-power nonlinear difference squeezing in the multimode state light field with any amount of states superposing was given.Conclusion It was found that all of the formerly studied multimode superposition states are the special examples under the different 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.
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.
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.
The general theory of generalized nonlinear unequal-power higher-power difference-squeezing of Multimode Radiation Light-Field(abbr.MRLF)is utilized to study the property of second-order unequal-power higher-power difference-squeezing(namely,N_j-th power X-squeezing)of two-state-superposition multimode superposition state light-field Ψ(2)_1_ 2q,which is composed of 2q-modes coherent state and its contrary state according to the state superposition principle in quantum mechanics.It is found that under some certain and fixed conditions,the multimode superposition light-field mentioned above can display the effect of N_j-th power X-squeezing.