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Journal of Northwest Normal University

The properties of the equal power N-Y minimum uncertaintystate of asymmetric multimode superposition state light field

Xu Min

Published Jan 1, 2003• 0 citations
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Abstract

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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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.
The paper presents the properties of N-th power Y-squeezing on multimode light field |φI(ab)q . The finding is that in the some certain condition the state |φI(ab)q can always display the equal-power N—Y minimum uncertainty state, but the state |φI(ab)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 is composed of asymmetrical coherent state light field that always retains the coherent properties of original light field.
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.
In the paper,the properties of unequal-even-power N j-th power Y-squeezing in the first kind of asymmetrical multimode superposition state light field |Ψ I (ab) q  with the superposition of distinct two quantum states is studied in detail.It is found that if the squeezed power number N j is an even number,under some certain conditions the state  |Ψ I (ab) q  can display the effects of unequal-power N j-th power Y-squeezing that changes periodically.the result of even-power N-th power Y-squeezing of state  |Ψ I (ab) q  is only a particular example under the certain condition N j=N of this papers universal result.
The third of the three state superpositions multimode superposition state light field |ψ(3)3q was constructed by linear superposition of multimode complex conjugation coherent state,|{Zj}q multimode complex conjugation imaginary coherent state |{iZj}q and multimode vaecum state |{0j}q.By utilizing the theory of multimode squeezed states,the properties of generalized nonlinear unequalpower Njth power Ysqueezing (or amplitude squeezing) in the state |ψ(3)3q was discussed.It is found that when the squeezing power of each mode Nj is even number only,and some certain conditions are satisfied,the first or second perpendicular phase component in the state |ψ(3)3q can always display any even number power generialized nonlinear unequalpower Njth power Ysqueezing effeets respectively,which is comlementary,also changes periodically.
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.