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Journal of Yanan University

The properties 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

Bai Shao-min

Published Jan 1, 2004• 0 citations
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Abstract

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.

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Journal of Yanan University•Jan 1, 2008•0 citations
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.
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The properties of generalized nonlinear equal power N th power Y sqeezing on multimode superposition state light field ψ (ab) I q are studied,by utilizing the theory of multimode squeezed state.It is found that in the some certain condition,the state ψ (ab) I q can always display the equal power N Y minimum uncertainty state,the state ψ (ab) I q cant display the equal power N th power Y squeezing effect.It is obvious that in the certain condition multimode superposition state light field composed of asymmetrical coherent state light field always keep down the coherent properties of original light lield.
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By utilizing the theory of multimode squeezed states estabilshed recently, the generalized nonlinear equal-power N-th power H-squeezing properties of generalized electric-field component in the new kind of three state superposition multimode quantum superposition state light field |Ψ~((3))〉_q is studied firstly in detail. It is found that under certain and fixed conditions, the generalized electric-field component in the state (|Ψ~((3))〉_q ) can always display the effects of generalized nonlinear equal-power N-th power H-squeezing which changes periodically.
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.