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Journal of Shangluo University

The sum-squeezing of generalized electrical-field of multimode functional superposition state light field in medium

Lei Jianping

Published Jan 1, 2008• 0 citations
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Abstract

Aim To study of the property of the higher-power sum-squeezing of the generalized electrical-field of multimode functional superposition state light field with the superposition of four unsymmetrical quantum states in medium.Method By using the whole quantum multimode high-order squeezing state theory.Result Under certain conditions,the generalized electrical-field of multimode functional superposition state light field in medium shows the higher-power sum-squeezing.Conclusion The squeezing extent of the higher-order sum-squeezing shown in the generalized electrical-field of multimode functional superposition state light field in the medium is connected with squeezing power number,the intensity of the coherent state light field of the single mode,and the coefficient of the gain dielectric or the absorption dielectric.

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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.

Journal of Northwest University•Jan 1, 2004•0 citations
Aim To study of the property of the higher-power sum-squeezing of the generalized electrical-field of multimode functional superposition state light field with the superposition of four unsymmetrical quantum states in medium.Method By using the whole quantum multimode high-order squeezing state theory.Result Under certain conditions,the generalized electrical-field of multimode functional superposition state light field in medium shows the higher-power sum-squeezing.Conclusion The squeezing extent of the higher-order sum-squeezing shown in the generalized electrical-field of multimode functional superposition state light field in the medium is connected with squeezing power number,the intensity of the coherent state light field of the single mode,and the coefficient of the gain dielectric or the absorption dielectric.
By using multimode squeezing state theory,this paper makes a study of the unequal-power H-squeezing of the generalized electrical-field of the asymmetrical multimode functioncal superposition state light field with the superposition of four quantum states in medium and it finds: under certain conditions,the generalized electrical-field of multimode functioncal superposition state light field with the superposition of four quantum states in the medium shows unequal-order Nj-th power H-squeezing;As the light field spreading distance becomes farther in medium,the phenomenon of unequal-order Nj-th power H-squeezing appears periodically.
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.
It is constructed in this paper that the four-states superposition multimode functional superposition state light-field |Ψ (4) *(f j) q composed of four multimode functional coherent state through equal intensity.Utilized the unequal-power sum squeezing theory,the properties of unequal-power sum squeezing of the state |Ψ (4) *(f j) q is studied,and it is found,when the add of squeezing number,the spatial distribution function of classical initial phase of each vertical order,the spatial distribution function of classical intensity of each mode and other parameters satisfied to different conditions,the state |Ψ (4) *(f j) q can present certain power unequal-power sum squeezing,the squeezing degree and depth of each mode are intensively connected with the spatial distribution function of classical initial phase of each vertical order and the spatial distribution function of classical intensity of each mode of the state |Ψ (4) *(f j) q.
Based on the state superposition principle of quantum mechanics,asymmetrical multimode functional superposition state light field with the superposition of four quantum states is constructed.By using multimode squeezing state theory,this paper makes a detailed study of the unequal-power higher-power amplitude-squeezing of generalized magnetic-field of 4MFSS light field in medium and it is found that 1) under certain conditions,the generalized magnetic-field of 4MFSS light field shows periodical generalized nonlinear unequal-power higher-power amplitude-squeezing;2) the Nj-th power higher-power amplitude-squeezing shown in the generalized magnetic-field of 4MFSS light field is obviously affected by the coefficient of the gain medium or of the absorption medium.In the gain medium,when the light field spreading distance becomes farther,the extent,range and effect of Nj-th power higher-power amplitude-squeezing are intensified;in the absorption medium,when the light field spreading distance becomes farther,the extent,range and effect of Nj-th power higher-power amplitude-squeezing are decreased.
Utilized the general theory of multimode squeezed state, the squeezing properties of a new kind of multimode superposition state which composed by multimode functional coherent state and multimode functional imaginary coherent state is studied, and it is found that, when the products of sum-number of cavity-modes and squeezing number is an even number, the state can present equal-power sum squeezing effect in some special equal-phase-surface; The spatial distribution of classical intensity of the light-field has a direct influence upon the squeezed degree and the squeezed depth of generalized nonlinear equal-power sum-squeezing of the state ,and with the change of the spatial distribution of classical intensity of each mode, the squeezed degree and the squeezed depth of each mode of the state are anisotropic in spatial distribution.
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.