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Journal of Shaanxi Normal University

Properties of unequalled-order N_j-th power H-squeezing in third and fourth kinds of multi-mode superposition state

Wang Ju-xia

Published Jan 1, 2002• 0 citations
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Abstract

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.

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Acta Sinica Quantum Optica•Jan 1, 2002•0 citations
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 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 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.
The properties of unequalled order N j th power Y squeezing in the two new kind multimode Schr o ¨dinger state(MSCS) light fields:|Ψ (2) + q and|Ψ (2) - q are studied firstly in detail.It's result reveals that the squeezing properties of similitude and degenrate between the two kind states mentioned above,With the initial phase φ j(j=1,2,3,...,q) changing,and else some quantization or continuity conditions,the two kinds MSCS present periodically any unequalled order N j th power Y squeezing effect in the case of squeezing order N j of each mode is equal to 4m j,4m j+1,4m j+2 and 4m j+3(m j=0,1,2,3,...) respectively.It is demonstrated that the state |Ψ (2) + q and |Ψ (2) - q are two kinds of typical multimode nonclassical light fields.
On the bases of the linear superposition principle of quantum state in quantum mechanics, |ψ (3) 3q -the third kind of the three state superposition multimode superposition state light field is constructed that is composed of linear superposition of multimode complex conjugation coherent state |{Z * j} q ?multimode complex conjugation imaginary coherent state |{iZ * j} q and multimode vaccum state |{0 j} q . By utilizing the theory of multimode squeezed states, the properties of generalized nonlinear unequal-power N j-th power H-squeezing in the state |ψ (3) 3q is studied in detail. It is found that when the sum of the squeezing power of each mode is even number only and certain conditions are satisfied, the first perpendicular phase component and the second one of the state |ψ (3) 3q can always display any power generalized nonlinear unequal-power N j-th power H-squeezing effects that change periodically, respectively.
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.
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.