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Study on the Properties of Unequal-Power N_j-th Power amplitude-Squeezing of Multimode Superposition State Light Field with the Superposition of Two Symmetrical Quantum States

Xiaowei Han

Published Jan 1, 2008• 0 citations
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Abstract

The properties of generalized nonlinear unequal-power Nj-th power amplitude-squeezing of multimode superposition state light field |ψ(2)q with the superposition of two symmetrical quantum states is studied in detail.It is found that under some conditions the state |ψ(2)q can present part odd number order Nj-th power amplitude-squeezing that changes periodically.This result is entirely different from the result reported in current references.

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The properties of generalized nonlinear unequal-power Nj-th power amplitude-squeezing of multimode superposition state light field |ψ(2)q with the superposition of two symmetrical quantum states is studied in detail.It is found that under some conditions the state |ψ(2)q can present part odd number order Nj-th power amplitude-squeezing that changes periodically.This result is entirely different from the result reported in current references.
The properties of unequal-power Nj-th power H-squeezing of a kind of multimode superposition state light field Ψ(2)〉q with the superposition of two states are studied in detail.It is found that,when the sum of the squeezing orders of each mode is even number,the multimode superposition state light field Ψ(2)〉q is always in Nj minimum uncertainty state;when the sum of the squeezing orders of each mode is odd number,under some conditions the multimode superposition state light field Ψ(2)〉q can also present Nj-th power H-squeezing that changes periodically.
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 using the theory of multimode squeezed states,the properties of unequal-power Nj-th power sum-squeezing of multimode superposition state light field |ψ(α)q with the superposition of two quantum states in medium was studied.It was found that when the sum of the squeezing power of each mode was even number,the multimode superposition state light field |ψ(α)q was always in Nj minimum uncertainty state;when the sum of the squeezing orders of each mode was odd number,under some conditions,the multimode superposition state light field |ψ(α)q could also present Nj-th power sum-squeezing that changed periodically in medium.
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.
In this paper,the multimode squeezed state theory is utilized to study the characteristics of generalized nonlinear-unequal-power N j -th power H-squeezing of generalized electric-field component in the state |Ψ (2) (f) g, made up of the linear superposition of multimode functional coherent state |{f j (x,y,z) } g and its contrary state |{-f j( x,y,z )} g according to the superposition principle of quantum state in quantum mechanics.It shows the results:under the condition of the sum of squeezing-power-number being an any odd-number,while some other fixed conditions are satisfied by the suate |Ψ (2) (f) g the state |Ψ (2) (f) g can display the effects of any generalized nonlinear unequal-power N j -th power H-squeezing that changes periodically and alternatively.