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Journal of Optoelectronics·laser

Study on the Properties of Amplitude Unequalled-power Squeezing in the Two Types of Multi-mode Superposition State

Wang Ju-xia

Published Jan 1, 2002• 0 citations
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Abstract

By utilizing the theory of multi-mode squeezing state,the author of the present paper studied the properties of generalized nonlinear amplitude unequalled-power squeezing in the two types of multi-mode superposition state constructed in document .It is found both some certain conditions which the two types of multi-mode superposition states display amplitude unequalled-power squeezing effect and the new phenomena of similitude squeezing and degenerate squeezing.The results show that those are two kinds of typical multi-mode unclassical light fields.These mentioned above demonstrate that the document is only the specific example of this paper under the certain conditions.

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Acta Sinica Quantum Optica•Jan 1, 2002•0 citations
By utilizing the theory of multi-mode squeezing state,the author of the present paper studied the properties of generalized nonlinear amplitude unequalled-power squeezing in the two types of multi-mode superposition state constructed in document .It is found both some certain conditions which the two types of multi-mode superposition states display amplitude unequalled-power squeezing effect and the new phenomena of similitude squeezing and degenerate squeezing.The results show that those are two kinds of typical multi-mode unclassical light fields.These mentioned above demonstrate that the document is only the specific example of this paper under the certain conditions.
The properties of generalized nonlinear unequalled-order N j-th power H-squeezing in the two kinds of multi-mode superposition state light fields Ψ (2) +,3 q and Ψ (2) -,4 q constructed in document are studied in detail. By a large number of calculation, it is found that the two kinds multi-mode superposition states mentioned above can display any unequalled-order N j-th power H-squeezing that changes periodically and that the significative new phenomena of similitude squeezing and degenerate squeezing exist between the two superposition states. These results mentioned above demonstrate that the document is only the specific example of this paper under the certain conditions.
By using of general theory of unequalledpower squeezing in multimode radiation field,the property of unequalledpower difference squeezing (that is Njth power Xsqueezing) in the second kind of multimode light field state of superposition state with distinguishable two quantum states is firstly studied in detail.It is found that the second kind of multimode superposition state presents generalized nonlinear twoorder unequalledpower Njth power Xsqueezing effect that changes periodically under the certain conditions,and found the phenomenon of strange squeezing.The results demonstrate again that the multimode superposition state mentioned above is a kind of typical multimode nonclssical light field based on the document 5.
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.
The property of N-th power X-squeezing in a kind of intensity asymmetrical multi mode superposition state light field with the superposition of distinguishable two quantum state is firstly studied in detail by using of the general theory of generalized nonlinear difference squeezing in multi mode radiation field. It is found that the kind of multi mode superposition state light field mentioned above presents generalized nonlinear difference-squeezing effect (that is N-th power X-squeezing effect) that changes periodically if some conditions are satisfied respectively by the initial phase of each mode, or by the initial phase difference between the two components, or by photons of each mode, or by squeezing power. By further analysis demonstrate, it is demonstrated that the properties of N-th power X-squeezing in the first and second kind of multi mode superposition state light field are only particular examples of the discussion in this paper under certain conditions.
In this paper, the eighth kind of multi-mode superposition state light field with two state superpositions is constructed, and thery of multi-mode squeezed state is utilized to study the properties of generalized nonlinear even-number-order and equal-order N-th power Y-squeezing of the state |Ψ (2) 8 q mentioned above. It is found that the state |Ψ (2) 8 q is a typical multi-mode nonclassical light field. It can display even-number-order equal-order N-th power Y-squeezing effects that change periodically, and under the other conditions. It can present the phenomenon of degenerate equal-order N-th power Y-squeezing.
The State |Ψ (ab) q=C (aI) pq |{iZ (a) * j} q+C (bI) nq |{-iZ (b) * j} q is a new type of unsymmetrical multi-mode superposition state light field. By using the unequalled-order squeezing general theory of multi-mode ridiative light field, the property of generalized nonlinear unequalled-order N j-thpower H-squeezing of the state |Ψ (ab) q mentioned above is studied firstly in detail. It is found that the two perpendicular component of the state |Ψ (ab) q can presents respectively any unequalled-order N j-th power H-squeezing effect that changes periodically and unequalled-order N j-H minimum uncertainty state under the different some conditions. The results show that the state |Ψ (ab) q is a kind of typical nonclassical multi-mode light field.