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Jounal of Xidian University

Generalized nonlinear high-power squeezing in the first kind of multimode superposition state light field composed of the macro-scopically distinct unsymmetric three quantum states

Pei Zhang

Published Jan 1, 2002• 0 citations
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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.

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Higher-Power sum squeezing of generalized electric field component in the first kind of multimode superposition state light field with superpositions of macroscopically distinct three quantum states

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The first kind of the three state superposition multimode superposition state light field ψ(3)1q is constructed that is composed of multimode coherent state light field {Zj}q, multimode vacuum state light field {0j}q and contrary state {-Zj}q of multimode coherent state light field {Zj}q and that is based on the linear superposition principle of quantum state in quantum mechanics. Then the multimode squeezed state theory is utilized to study the effects of equalpower higherpower sum squeezing of generalized electric field component in the state ψ(3)1q . It is found that under certain and fixed conditions, the generalized electric field component (or the second perpendicular phase component) of the state ψ(3)1q can always display generalized nonlinear equalpower oddnumbermode with evennumberpower, evennumbermode with oddnumberpower, evennumbermode with evennumberpower, or oddnumbermode with oddnumberpower higherpower sum squeezing effects respectively and periodically.

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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 first kind of the three state superposition multimode superposition state light field ψ(3)1q is constructed that is composed of multimode coherent state light field {Zj}q, multimode vacuum state light field {0j}q and contrary state {-Zj}q of multimode coherent state light field {Zj}q and that is based on the linear superposition principle of quantum state in quantum mechanics. Then the multimode squeezed state theory is utilized to study the effects of equalpower higherpower sum squeezing of generalized electric field component in the state ψ(3)1q . It is found that under certain and fixed conditions, the generalized electric field component (or the second perpendicular phase component) of the state ψ(3)1q can always display generalized nonlinear equalpower oddnumbermode with evennumberpower, evennumbermode with oddnumberpower, evennumbermode with evennumberpower, or oddnumbermode with oddnumberpower higherpower sum squeezing effects respectively and periodically.