Journal of Weinan Normal University

The Generalized Nonlinear Unequalled-order Higher order Amplitude Squeezing in the Unsymmetrical Multi-mode Schrodinger Cat State Light Field

Ju Wang

Published Jan 1, 2002• 0 citations

Abstract

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.

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