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arXiv 0903.0997quant-ph
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Dirac表象的新应用:N模压缩增强算符和压缩态

New application of Dirac's representation: N-mode squeezing enhanced operator and squeezed state

Xue-xiang Xu, Li-yun Hu, Hong-yi Fan

摘要:

已知exp[i \lamda(Q_1P_1-i/2)]是一个么正单模压缩算符,其中Q_1,P_1分别是坐标算符和动量算符.本文利用Dirac坐标表示证明了指数算子S_{n} =Exp[i \lamda sum_{i=1} ^{n}](Q_{i} P_{i+1} + Q_{i+1} P_{i}))],(Q_{n+1} =Q_1 P_{n+1} =P_1)是增强标准压缩的n模压缩算子.利用算符有序积内积分技术,导出了S_{n}的正常有序展开式,得到了新的n模压缩真空态,并利用类似变换下的Weyl序不变性计算了其Wigner函数.

英文摘要:

It is known that exp[i\lamda(Q_1P_1-i/2)] is a unitary single-mode squeezing operator, where Q_1,P_1 are the coordinate and momentum operators, respectively. In this paper we employ Dirac's coordinate representation to prove that the exponential operator S_{n}=Exp[i\lamda sum_{i=1}^{n}](Q_{i}P_{i+1}+Q_{i+1}P_{i}))], (Q_{n+1}=Q_1P_{n+1}=P_1), is a n-mode squeezing operator which enhances the standard squeezing. By virtue of the technique of integration within an ordered product of operators we derive S_{n}'s normally ordered expansion and obtain new n-mode squeezed vacuum states, its Wigner function is calculated by using the Weyl ordering invariance under similar transformations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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