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Journal of Shaanxi Normal University

Influences of the gain and absorption spoilage effect of medium on Y-squeezing of 2MQES light-field

Li Wang

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

The 2MQES(or Two state-superposition multimode quantum entanglement state) light-field |Ψ(2)MF(αj)〉q along Z direction spreading in the gain medium and absorption medium is constructed.The multimode squeezed state theory is used to research the effect of the generalized nonlinear equal-power N-power Y-squeezing of 2MQES light-field,the influences of the gain and absorption spoilage effect of medium upon the generalized nonlinear equal-power N-power Y-squeezing of 2MQES light-field are analyzed in detail.It is found that,under the condition of the gain parameter.αj0,both the generalized electric-field component and the generalized magnetic-field component of state |Ψ(2)MF(αj)〉q can present a N-power Y-squeezing effect,and when αj is increase,both the squeezed amplitude and the squeezed intensity of the N-power Y-squeezing will diminish.Under the condition of the absorption spoilage coefficient αj0,both the generalized electric-field component and the generalized magnetic-field component of state |Ψ(2)MF(αj)〉q can present a N-power Y-squeezing effect,while |αj| is increase,both the squeezed amplitude and the squeezed intensity of the N-power Y-squeezing will increase.When the absorption effect is increasingly strong,both the squeezed amplitude and the squeezed intensity are increasingly big.It is shows that absorption medium is advantageous to squeezing of multimode quantum superposition state light-field.

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Journal of Yanan University•Jan 1, 2004•0 citations
The 2MQES(or Two state-superposition multimode quantum entanglement state) light-field |Ψ(2)MF(αj)〉q along Z direction spreading in the gain medium and absorption medium is constructed.The multimode squeezed state theory is used to research the effect of the generalized nonlinear equal-power N-power Y-squeezing of 2MQES light-field,the influences of the gain and absorption spoilage effect of medium upon the generalized nonlinear equal-power N-power Y-squeezing of 2MQES light-field are analyzed in detail.It is found that,under the condition of the gain parameter.αj0,both the generalized electric-field component and the generalized magnetic-field component of state |Ψ(2)MF(αj)〉q can present a N-power Y-squeezing effect,and when αj is increase,both the squeezed amplitude and the squeezed intensity of the N-power Y-squeezing will diminish.Under the condition of the absorption spoilage coefficient αj0,both the generalized electric-field component and the generalized magnetic-field component of state |Ψ(2)MF(αj)〉q can present a N-power Y-squeezing effect,while |αj| is increase,both the squeezed amplitude and the squeezed intensity of the N-power Y-squeezing will increase.When the absorption effect is increasingly strong,both the squeezed amplitude and the squeezed intensity are increasingly big.It is shows that absorption medium is advantageous to squeezing of multimode quantum superposition state light-field.
It is constructed that three-state-superposition multimode Functional Superposition state light-field |ψ(IR)0(αj〉q with injected multimode vacuum field along X direction spreading in the gain medium and absorb medium.The multimode squeezed state theory is used to system research the effect of equal-power high-power amplitude-squeezing of the generalized electric-field component on |ψ(IR)0(αj)〉q state,then the influences of the gain and absorb spoilage effect of medium to equal-power amplitude-squeezing of the generalized electric-field component are analyzed in detail.It is pointed out that both the squeezed amplitude and the squeezed intensity of amplitude-squeezing mentioned above will diminish within the gain medium;both the squeezed amplitude and the squeezed intensity of amplitude-squeezing will increase if coefficient |αj| is increase within the absorb spoilage medium,and absorption effect is increasingly strong,then the squeezed amplitude and the squeezed intensity is increasingly big.
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.
By using multimode squeezing state theory,this paper makes a detailed study of the generalized nonlinear equal-power N-th power Y-squeezing of the generalized vector potential effective field operator of the asymmetry 4MFSS light field |Ψ(fj)q in the medium.It is found that under certain conditions,the generalized vector potential effective field operator of the 4MFSS light field |Ψ(fj)q in the medium shows periodical equal-power N-th power Y-squeezing;in the gain medium,as the light field spreading distance becomes farther,the average photon number and its sum of every mode in different coherent states becomes larger,and the intensity of light field increases,the squeezing extent,range and effect of the N-th power Y-squeezing shown by the generalized vector potential effective field operator of the 4MFSS light field increases;in the absorption medium,as the light field spreading distance becomes farther,the average photon number and its sum of every mode in different coherent states becomes decrease,and the intensity of light field increases,the squeezing extent,range and effect of the N-th power Y-squeezing shown by the generalized vector potential effective field operator of the 4MFSS light field decreases.
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.
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.
It was constructed firstly that the three-states superposition multimode functional superposition state light-field|ψ~((3))_f_q was made up of the two different multimode complex conjugate functional coherent state |{f~(((a))~*)_j(x,y,z)}_q and |{f~(((b))~*)_j(x,y,z)}_q which had rather different spatial intensity distribution characteristics and the multimode vacuum state |{0_j}_q according to the linear superposition principle of quantum state in quantum mechanics. And then the multimode squeezed state theory was utilized to study the effects of generalized nonlinear unequal-power higher-power Y-squeezing of generalized magnetic-field component in the state|ψ~((3))_f_q. It was shown that under a series of fixed conditions,the generalized magnetic-field component of the state|ψ~((3))_f_q can always display the effects of generalized nonlinear unequal-power higher-power Y-squeezing which changes periodically and alternatively; the any asymmetrical spatial distribution profile of the classical intensity and the classical amplitude,and the any spatial distribution features of the initial classical phase of the quantum light-field state|ψ~((3))_f_q would have a direct influence upon the squeezed degree and squeezed depth of generalized nonlinear unequal-power higher-power Y-squeezing present by the generalized magnetic-field component in the state |ψ~((3))_f_q.