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Journal of Atomic and Molecular Physics

Nonlinear higher-order difference squeezing of the one-mode photon-added double-mode SU(2) coherent state

Yi Mu

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

The nonlinear higher-order difference squeezing(N-th Power X-squeezing effects) of photon field for the mode of a photon-added double-mode SU(2) coherent state ｜M,ζ;m〉=A_ma~(+m)｜M,ζ〉 is investigated with numeric method.It is shown that the photon field can exhibit the nonlinear higherorder difference squeezing(N-th power X-squeezing effects N=1,2,3,4,5,…),when M increases,the N-th power X-squeezing effects increase,while as m and N increase,the squeezing effects decrease.

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The nonlinear higher-order difference squeezing(N-th Power X-squeezing effects) of photon field for the mode of a photon-added double-mode SU(2) coherent state ｜M,ζ;m〉=A_ma~(+m)｜M,ζ〉 is investigated with numeric method.It is shown that the photon field can exhibit the nonlinear higherorder difference squeezing(N-th power X-squeezing effects N=1,2,3,4,5,…),when M increases,the N-th power X-squeezing effects increase,while as m and N increase,the squeezing effects decrease.
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.
Applying the theory of multi-mode squeezing state, the properties of the generalized nonlinear equal-power difference squeezing of the multi-mode complex conjugation odd- and even-coherent state light field are further studied in detail. The findings demonstrate that if, at least one mode n_j (j = 1, 2, 3,..., 2q) of the photon number is less than squeezing power N and q·N, the products of cavity modes number q and squeezing-power number N, no matter an even-number or odd-number, the generalized both magnetic field and electrical field perpendicular phase component of multi-mode complex conjugation odd- and even-coherent state light field present equal-power difference squeezing conditions at the same time. This phenomenon is called generalized nonlinear equal-power N-th Power X-Strange-Squeezing effect. The result is completely different from what has been reported recently and is not identical with the law of the uncertainty relation. Therefore, the above mentioned illustrates that the multi-mode complex conjugation odd- and even-coherent state light fields are really two types of multi-mode non-classical light field.