General multimode difference-squeezing

Nguyen Ba An, Vo Tinh

Wang Ju-xia, Yang Zhi-yong

Aim To find out the squeezing conditions theoretically and the properties of equal-power nonlinear difference squeezing in multimode radiation field with any amount of states superposing studied.Methods By utilizing the principle of superposing states in quantum mechanics and the general theory of multimode squeezing states,the quantum fluctuation of the general both electronic and magnetic field component were figured.Results The general expressions of equal-power high-power nonlinear difference squeezing in the multimode state light field with any amount of states superposing was given.Conclusion It was found that all of the formerly studied multimode superposition states are the special examples under the different conditions.

Tian Wei

The general theory of generalized nonlinear equal-power higher-power difference-squeezing of multimode radiation light-field is utilized to study the properties of equal-power N-power difference-squeezing of generalized electric-field component of the arbitrary two-states superposition multimode functional superposition state light-field.The general theory result is obtained,the properties of equal-power N-power difference-squeezing in two special two-states superposition multimode functional superposition state light-field is discussed.It is shown that:1)When qN is a even-numbers,not appears as the properties of generalized nonlinear equal-power difference-squeezing of generalized electric-field component and not appears as N-j minimum uncertainty state in first kind two-states superposition multimode functional superposition state light-field and imaginary number coherent two-states superposition multimode functional superposition state light-field;2) When qN is a odd-numbers,generalized electric-field component of the arbitrary two-states superposition multimode functional superposition state light-field can display the effect of generalized nonlinear N-power difference-squeezing which changes periodically and alternatively under a series of fixed conditions.

Stephen Mark Barnett

Bai Shao

The arbitrary two-states superposition multimode functional superposition state light-field |ψ(2)f〉q is constructed.The general theory of generalized nonlinear equal-power higher-power difference-squeezing of Multimode Radiation Light-Field is utilized to study the properties of equal-power N-power difference-squeezing of generalized magnetic-field component of the state |ψ(2)f〉q.The general theory result is obtained,the properties of equal-power N-power difference-squeezing in two special two-states superposition multimode functional superposition state light-field is discussed.It is shown that:1)When qN is a even-numbers,not appears as the properties of generalized nonlinear equal-power difference-squeezing of generalized magnetic-field component and not appears as N-j minimum uncertainty state in first kind two-states superposition multimode functional superposition state light-field and imaginary number coherent two-states superposition multimode functional superposition state light-field;2) When qN is a odd-numbers,generalized magnetic-field component of the arbitrary two-states superposition multimode functional superposition state light-field can display the effect of generalized nonlinear N-power difference-squeezing which changes periodically and alternatively under a series of fixed conditions.

József Janszky, Yu. Ya. Yushin