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Journal of Xidian University

Equal-power higher-power sum-squeezing of a kind ofmulti-mode functional superposition state light field

Yuying An

Published Jan 1, 2005• 0 citations
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Abstract

Based on the linear superposition theory in quantum mechanics, a kind of multi-mode functional superposition state light field which is made up of distinct unsymmetry five different multi-mode functional coherent states is developed. By using the mutli-mode squeezing state theory, the properties of the generalized nonlinear equal-power higher-power sum-squeezing of a kind of multi-mode functional superposition state light field is studied in detail. It is found that, under certain conditions, the first or the second perpendicular phase component of the multi-mode functional superposition state ligh field can present any generalized nonlinear equal-power higher-power sum-squeezing effect which changes periodically.

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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.

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Effects of generalized nonlinear unequal-power higher-power sum-squeezing of superposition state light-field composed of the two different multimode functional coherent states-unequal higher power sum-squeezing of generalized magnetic-field component

Lai Zhen-jiang

In this paper, the multimode squeezed state theory is utilized to study the characteristics of generalized nonlinear-unequal-power higher-power sum-squeezing of generalized magnetic-field component in the state |ψ(f)(2)q made up of the linear superposition of multimode functional coherent state |{fj(x,y,z)}q and its contrary state |{-fj(x,y,z)}q according to the superposition principle of quantum state in quantum mechanics. It is found that: 1) under the condition of the sum of squeezing-power-number being an any even-number, thestate |ψ(f)(2)q can always stay in the generalized nonlinear unequal-power Nj-H minimum uncertainty state;and 2) under the condition of the sum of squeezing-power-number being an anyodd-number, while some other fixed conditions are satisfied by the state |ψ(f)(2)q the state mentioned can display the effects of generalized nonlinear unequal-power Nj-th power H-squeezing that changes periodically and alternatively.

Chinese Journal of Quantum Electronics•Jan 1, 2005•0 citations
Based on the linear superposition theory in quantum mechanics, a kind of multi-mode functional superposition state light field which is made up of distinct unsymmetry five different multi-mode functional coherent states is developed. By using the mutli-mode squeezing state theory, the properties of the generalized nonlinear equal-power higher-power sum-squeezing of a kind of multi-mode functional superposition state light field is studied in detail. It is found that, under certain conditions, the first or the second perpendicular phase component of the multi-mode functional superposition state ligh field can present any generalized nonlinear equal-power higher-power sum-squeezing effect which changes 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.
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.
On the bases of the linear superposition principle of quantum state in quantum mechanics, |ψ (3) 3q -the third kind of the three state superposition multimode superposition state light field is constructed that is composed of linear superposition of multimode complex conjugation coherent state |{Z * j} q ?multimode complex conjugation imaginary coherent state |{iZ * j} q and multimode vaccum state |{0 j} q . By utilizing the theory of multimode squeezed states, the properties of generalized nonlinear unequal-power N j-th power H-squeezing in the state |ψ (3) 3q is studied in detail. It is found that when the sum of the squeezing power of each mode is even number only and certain conditions are satisfied, the first perpendicular phase component and the second one of the state |ψ (3) 3q can always display any power generalized nonlinear unequal-power N j-th power H-squeezing effects that change periodically, respectively.
According to the linear superposition principle of state in quantum mechanics,the five-state superposition multimode schrdinger-cat state light field |Ψ1(5) q is constructed,that is composed of multimode vacuum state,multimode complex conjugation coherent state,multimode complex conjugation imaginary coherent state,and the contrary states of later two states.Furthermore,the multimode squeezed state theory is utilized to study the characteristics of generalized nonlinear equal-power higher-power sum squeezing of the generalized electric-field component in the light field |Ψ1(5) q .The results show that:under certain and fixed conditions,the generalized electric-field component of the light-field |Ψ1(5) q can display the effects of generalized nonlinear equal-power 4m+2-th power sum squeezing which changes periodically.
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.
In this paper, the multimode squeezed state theory is utilized to study the characteristics of generalized nonlinear-unequal-power higher-power sum-squeezing of generalized magnetic-field component in the state |ψ(f)(2)q made up of the linear superposition of multimode functional coherent state |{fj(x,y,z)}q and its contrary state |{-fj(x,y,z)}q according to the superposition principle of quantum state in quantum mechanics. It is found that: 1) under the condition of the sum of squeezing-power-number being an any even-number, thestate |ψ(f)(2)q can always stay in the generalized nonlinear unequal-power Nj-H minimum uncertainty state;and 2) under the condition of the sum of squeezing-power-number being an anyodd-number, while some other fixed conditions are satisfied by the state |ψ(f)(2)q the state mentioned can display the effects of generalized nonlinear unequal-power Nj-th power H-squeezing that changes periodically and alternatively.