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Communications in Theoretical Physics

Squeezed State Caused by Inverse of Photon Creation Operator

Xuefen Xu

Published Feb 1, 2006• 2 citations
Publisher

Abstract

Using the photon creation operator's eigenstate theory we derive the normally ordered expansion of inverse of the squeezed creation operator. It turns out that using this operator a kind of excitation on the squeezed vacuum states can be formed.
DOI
10.1088/0253-6102/45/2/027

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In a 3-wave mixing process occurring in some nonlinear optical medium when }a1†a_{1}^{\dagger}a1†​{\small mode interacts with both }$a_{2}^{\dagger}% modeand{\small mode and }modeanda_{3}^{\dagger}mode,wetheoreticallystudythesqueezingeffectgeneratedbytheoperator{\small mode, we theoretically study the squeezing effect generated by the operator }mode,wetheoreticallystudythesqueezingeffectgeneratedbytheoperatorS_{3}\equiv \exp[μ(a_{1}% a_{2}-a_{1}^{\dagger}a_{2}^{\dagger})+ν(a_{1}a_{3}-a_{1}^{\dagger}% a_{3}^{\dagger})].Thenew3−modesqueezedvacuumstateinFockspaceisderived,andtheuncertaintyrelationforitisdemonstrated,Itturnsoutthat{\small . The new 3-mode squeezed vacuum state in Fock space is derived, and the uncertainty relation for it is demonstrated, It turns out that }.Thenew3−modesqueezedvacuumstateinFockspaceisderived,andtheuncertaintyrelationforitisdemonstrated,ItturnsoutthatS_{3}mayexhibitenhancedsqueezing.Byvirtueofthetechniqueofintegrationwithinanorderedproduct(IWOP)ofoperators,wealsoderive{\small may exhibit enhanced squeezing. By virtue of the technique of integration within an ordered product (IWOP) of operators, we also derive }mayexhibitenhancedsqueezing.Byvirtueofthetechniqueofintegrationwithinanorderedproduct(IWOP)ofoperators,wealsoderiveS_{3}${\small 's normally ordered expansion. The Wigner function of new 3-mode squeezed vacuum state is calculated by using the Weyl ordering invariance under similar transformations.