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A study on the properties of equal-power N-th power odd number H-squeexing in the first kind of asymmetricalmultimode light field with the superposition of two quantum states

Xiao Han

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

The properties of equalpower Nth power Hsqueezing of state|Ψ(ab)Iq is studied in detail.It is found that if the products of squeezed power number N and cavity mode number q is an odd number,under some certain conditions the state|Ψ(ab)Iq can display the oddnumbermodeoddnumberpower equalpower Nth power Hsqueezeing that changes periodcally.

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•Jan 1, 2003•0 citations
The properties of equalpower Nth power Hsqueezing of state|Ψ(ab)Iq is studied in detail.It is found that if the products of squeezed power number N and cavity mode number q is an odd number,under some certain conditions the state|Ψ(ab)Iq can display the oddnumbermodeoddnumberpower equalpower Nth power Hsqueezeing that changes periodcally.
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.
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 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.
In this paper it is constructed a new type of unequalled-intensity unsymmetric multi-mode superposition state light field│Ψ (ab) 〉 q ,which is made of the linear superposition of macro scopically distinct two quantum states named the multi-mode imaginary conjugate coherent state│iZ j(a)  〉 q and the contrary state of multi -mode imaginary conjugate coherent state│iZ j(a)  〉 q respectively.By using the general theory of multi-mode squeezed state,the property of generalized nonlinear equal-power N-th power H-squeezing of the state│Ψ (ab) 〉 q mentioned above is studied firstly in detail.It is found that:(1).In the case of if Z j(a) ≠Z j(b) ,whether the q·N,the products of the cavity-mode number q and the squeezed power number N,is an even or odd number,the state│Ψ (ab) 〉 q can always presents equal-power N-th power H-squeezing effect.(2).When Z j(a) =Z j(b) and q·N is an odd number,the state│Ψ (ab) 〉 q can present the phenomenon of equal-power N-th power H-squeezing degenerate.