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Journal of Shaanxi Normal University

Property for generalized nonlinear unequalled-power difference squeezing in multimode Schrdinger cat state light field

Ju Wang

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

By utilizing the general theory on generalized nonlinear unequalled_power difference squeezing, the properties of generalized nonlinear unequalled_power difference squeezing (the properties of N j _th power X_squeezing) in the multimode Schrdinger cat state light field with the superposition of distinguishable two quantum states is firstly studied in detail. After a large of calculation the general theory result of N j _th power X_squeezing in the multimode Schrdinger cat state light field is obtained. It provides reliable theory basis for seeking squeezing conditions.

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By utilizing the general theory on generalized nonlinear unequalled_power difference squeezing, the properties of generalized nonlinear unequalled_power difference squeezing (the properties of N j _th power X_squeezing) in the multimode Schrdinger cat state light field with the superposition of distinguishable two quantum states is firstly studied in detail. After a large of calculation the general theory result of N j _th power X_squeezing in the multimode Schrdinger cat state light field is obtained. It provides reliable theory basis for seeking squeezing conditions.
By using of general theory of unequalledpower squeezing in multimode radiation field,the property of unequalledpower difference squeezing (that is Njth power Xsqueezing) in the second kind of multimode light field state of superposition state with distinguishable two quantum states is firstly studied in detail.It is found that the second kind of multimode superposition state presents generalized nonlinear twoorder unequalledpower Njth power Xsqueezing effect that changes periodically under the certain conditions,and found the phenomenon of strange squeezing.The results demonstrate again that the multimode superposition state mentioned above is a kind of typical multimode nonclssical light field based on the document 5.
By using the general theory of multimode squeezed states, the difference of generalized nonlinear unequal - power higher - power in the multimode Schrodinger -cat state entangled light field is studied in detail. This light field is formed by linear superposition from three quantum states, i.e. multimode complex conjugation coherent state, multimode complex conjugation imaginary coherent state and multimode vacuum state. The conclusion shows that 1) the difference of the cat state entangled light field is independent of the vacuum state; 2) when certain conditions are satisfied, the two quadrature phases of this cat state entangled light field present unequal - power higher - power difference properties respectively, and under some other conditions, the difference effects of two quadrature phases can be displayed at the same time. The former is in conformity with the uncertainty principle. But the later is not, and is called two-sides difference squeezing considering the application of squeezed light in the light communication.
The property of N-th power X-squeezing in a kind of intensity asymmetrical multi mode superposition state light field with the superposition of distinguishable two quantum state is firstly studied in detail by using of the general theory of generalized nonlinear difference squeezing in multi mode radiation field. It is found that the kind of multi mode superposition state light field mentioned above presents generalized nonlinear difference-squeezing effect (that is N-th power X-squeezing effect) that changes periodically if some conditions are satisfied respectively by the initial phase of each mode, or by the initial phase difference between the two components, or by photons of each mode, or by squeezing power. By further analysis demonstrate, it is demonstrated that the properties of N-th power X-squeezing in the first and second kind of multi mode superposition state light field are only particular examples of the discussion in this paper under certain conditions.
The general theory of generalized nonlinear unequal-power higher-power difference-squeezing of Multimode Radiation Light-Field(abbr.MRLF)is utilized to study the property of second-order unequal-power higher-power difference-squeezing(namely,N_j-th power X-squeezing)of two-state-superposition multimode superposition state light-field Ψ(2)_1_ 2q,which is composed of 2q-modes coherent state and its contrary state according to the state superposition principle in quantum mechanics.It is found that under some certain and fixed conditions,the multimode superposition light-field mentioned above can display the effect of N_j-th power X-squeezing.
The properties of unequalled order N j th power Y squeezing in the two new kind multimode Schr o ¨dinger state(MSCS) light fields:|Ψ (2) + q and|Ψ (2) - q are studied firstly in detail.It's result reveals that the squeezing properties of similitude and degenrate between the two kind states mentioned above,With the initial phase φ j(j=1,2,3,...,q) changing,and else some quantization or continuity conditions,the two kinds MSCS present periodically any unequalled order N j th power Y squeezing effect in the case of squeezing order N j of each mode is equal to 4m j,4m j+1,4m j+2 and 4m j+3(m j=0,1,2,3,...) respectively.It is demonstrated that the state |Ψ (2) + q and |Ψ (2) - q are two kinds of typical multimode nonclassical light fields.
By using the theory of multimode squeezed state,the property of generalized nonlinear equal-order N-th power Y-squeezing in the multimode superposition state light field ｜Ψ~((2))〉_q with the superposition of arbitrary two quantum states is studied.It is evinced that the state ｜Ψ~((2))〉_q separately stayed equal-order N-Y minimum uncertainty state、present the effect of half coherent state、the first quadrature component or the second quadrature component present the properties of N-th power Y-squeezing in different conditions.