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The property of twoorder unequalledpower differencesqueezingin the second multimode superposition state light field

Ju Wang

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

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.

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Acta Sinica Quantum Optica•Jan 1, 2002•0 citations
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.
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.
The general theory of generalized nonlinear unequal-power higher-power difference-squeezing of Multimode Radiation Light-Field(abbr.MRLF)is utilized to study the property of second-order unequal-power higher-power difference-squeezing(namely,N_j-th power X-squeezing)of two-state-superposition multimode superposition state light-field Ψ(2)_1_ 2q,which is composed of 2q-modes coherent state and its contrary state according to the state superposition principle in quantum mechanics.It is found that under some certain and fixed conditions,the multimode superposition light-field mentioned above can display the effect of N_j-th power X-squeezing.
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.
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.
On the basis of reference 2, the paper probes the squeezing effects of unequal-order higher-power Y-squeezing in the second kind of multimode superposition state light field with the superposition of two quantum state by using the definition of multimode squeezing. It is found that when the the squeezing orders of each mode is even number, the state |Ψ (2) 2 q is always in N j-Y minimum uncertainty state; when the squeezing orders of each mode is odd number, under some conditions the state |Ψ (2) 2 q can also present N j-th power Y-squeezing that changes periodically; the result of reference 2 is only a particular example under the certain condition N j=N of this paper's universal results.
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.