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Journal of Shaanxi Normal University

The N-th power Y-squeezing of the generalized vector potential of 4MFSS light field in the gain medium absorption medium

Xinhua Zhang

Published Jan 1, 2008• 0 citations
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Abstract

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.

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Acta Sinica Quantum Optica•Jan 1, 2002•0 citations
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 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.
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 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.
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.