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Journal of Air Force Engineering University

The N_j-th Power Amplitude-squeezing of Generalized Magnetic-field of 4MFSS Light Field in Medium

Sun Zhong-yu

Published Jan 1, 2008• 0 citations
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Abstract

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.

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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.
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.
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.
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.
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.
It is constructed in this paper that the three-states superposition multimode functional superposition state light field ｜ψ~((3))_f〉_q is made up of the multimode vacuum state ｜{0_j}〉_q, and the two different multimode complex functional coherent states ｜{f~~((a)*)_f(x,y,z)}〉_q and ｜{f~~((b)*)_f(x,y,z)}〉_q which have rather different spatial intensity distribution characteristic according to the superposition principle of quantum state in quantum mechanics. The properties of equal-power higher-power amplitude-squeezing (Y-squeezing) of generalized magnetic field 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 magnetic-field component of the state ｜ψ~((3))_f〉_q can display the effect of generalized nonlinear equal-power higher-power Y-squeezing which changes periodically and alternatively; and the asymmetrical spatial distribution of the classical intensity and the classical amplitude, and the spatial distribution features of the initial classical phase of light-field in the state ｜ψ~((3))_f〉_q would have a direct influence upon the squeezed degree of equal-power higher-power Y-squeezing present by the generalized magnetic-field component in the state ｜ψ~((3))_f〉_q.
It was constructed that the four-states superposition multimode functional superposition state light-field according to the superposition principle of quantum state in quantum mechanics.The properties of generalized nonlinear unequal-power odd-number-power Y-squeezing of the state was firstly studied in detail by utilizing the multimode squeezed state theory.It is shown that under some certain and fixed conditions,the state can present the effect of any odd-number-power generalized nonlinear unequal-power (2p_j+1)-th-power Y-squeezing (here,p_j=0,1,2,3,…),and the squeezed degree,the squeezed depth,and the squeezed amplitude are intensively nonlinear related to the cavity mode number,the squeezed number,the probability among four states,the spatial distribution function of the classical intnesity and classical amplitude,and the spatial distribution function of the classical initial phase of each mode of the state.Especially,the spatial distribution function of the classical intensity and classical amplitude of the light-field have a direct influence upon the squeezed degree,the squeezed depth,and the squeezed amplitude of generalized nonlinear unequal-power (2p_j+1)-th-power Y-squeezing of the state.