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Journal of Baoji University of Arts and Sciences

The properties of unequalled-order N_j-th power Y-squeezing in the two new kinds multimode Schrdinger cat state light fields

Ju Wang

Published Jan 1, 2002• 0 citations
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Abstract

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.

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Journal of Shaanxi Normal University•Jan 1, 2002•0 citations
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.
The properties of unequalled-order N(subscript j)-th power Y-squeezing in the two new kind Multimode Schrodinger State (MSCS) light fields: (The equation is abbreviated) and (The equation is abbreviated) 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(subscript j)(j=1,2,3,…,q) changing, and else some quantization or continuity conditions, the two kinds MSCS present periodically any unequalled-order N(subscript j)-th power Y-squeezing effect in the case of squeezing order N(subscript j)of each mode is equal to 4m(subscript j), 4m(subscript j)+1, 4m(subscript j)+2 and 4m(subscript j)+3(m(subscript j)=0,1,2,3,…) respectively. It is demonstrated that the state (The equation is abbreviated) and (The equation is abbreviated) are two kinds of typical multimode nonclassical light fields.
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 applying the unequalled-order squeezing general theory of multi-mode radioactive light field,the property of generalized nonlinear unequalled-order higher-order amplitude squeezing,that is generalized nonlinear unequalled-order Nj-th power Y-squeezing,in the unsymmetrical Multi-mode Schrodinger Cat State (MSCS) light field |Ψ ( ab)〉q =C( a I)pq |{i Z( a) *j }〉q +C( b I)nq |{-i Z( b) *j }〉qis studied in detail.It is found that the state|Ψ ( ab)〉qmentioned above is a kind of typical non-classical multi-mode lightfiled.Whether some modes of the q modes are even order and the others are odd order,or all of the q modesare even order,orallof theq modes are odd order,if some certain quantization conditions are satisfied respectively by the initial phaseφ( a)j 与 φ( b)j (here j=1 ,2 ,3 ,… q) of each mode,and by average photon number R( a)j and R( b)j of each mode,and by the initial phase differenceθ( a I)pq -θ( b I)nq between the two components |{i Z( a) *j }〉q and |{-i Z( b) *j }〉q,the state |Ψ( ab) 〉qbcan present any unequalled-order Nj-th power Y-squeezing effect that changes periodically and unequalled Nj-th minimum uncertainty state.
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 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.
By utilizing the general theory on generalized nonlinear unequalled_power difference squeezing, the properties of generalized nonlinear unequalled_power difference squeezing (the properties of N j _th power X_squeezing) in the multimode Schrdinger cat state light field with the superposition of distinguishable two quantum states is firstly studied in detail. After a large of calculation the general theory result of N j _th power X_squeezing in the multimode Schrdinger cat state light field is obtained. It provides reliable theory basis for seeking squeezing conditions.