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Journal of Beijing Jiaotong University

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

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

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.

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Journal of Shaanxi Normal University•Jan 1, 2004•0 citations
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.
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.
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.
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 utilizing the theory of multimode squeezed states established recently, the generalized nonlinear even number power equal-power N-th power Y-squeezing effects of generalized magnetic-field component in the new kind of multimode quantum light-field state (｜Ψ~((3))〉_q) is studied firstly in detail, which is composed of the linear superposition of macroscopically distinct three quantum states named multimode complex conjugation imaginary coherent state, the contrary state of multimode complex conjugation imaginary coherent state and multimode complex conjugation coherent state. It is found that under certain and fixed conditions, the generalized magnetic-field component in the state ｜Ψ~((3))〉_q can always display the effects of even number power generalized nonlinear equal-power N-th power Y-squeezing.
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 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.