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Journal of Weinan Normal University

The Properties of the Nth Y Minimum Uncertainty State of Multimode Superposition State Light Field

Xiaowei Han

Published Jan 1, 2005• 0 citations
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Abstract

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.

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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.
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.
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.
In the paper, the properties of equal-order N-th power H-squeezing in a kind of intense asymmetrical multimode superposition state light field |Ψ (ab) I q with the superposition of macroscopically distinct two quantum states is studied in detail, By utilizing the theory of multimode squeezed states. It is found that if the products of squeezed order number N and cavity mode number q is an even number, under some conditions the state |Ψ (ab) I q can also present the effects of equal-order N-th Power H-squeezing in the first positive ponderance or second pvsitive ponderance.
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.