arXiv quant-ph/05090802005-09-18quant-ph

多元自旋系统的压缩

Squeezing in Multivariate Spin Systems

Swarnamala Sirsi

备注：: 13 pages, 1 Table, Presented at ICSSUR-05, France
DOI：: 10.1142/S0217979206034054

摘要：

与表示粒子在相空间分布中的位置和动量的正则共轭变量$q$、$p$相反，自旋- $j$系统的三个笛卡尔分量$J_{x}$、$J_{y}$、$J_{z}$构成准概率自旋分布中的相互非对易变量。它可以表明，一个单变量的自旋分布是从来没有压缩和一个需要看看无论是二元或三元分布的压缩签名。如果考虑基于各种对应规则的不同特征函数或矩，则会产生几个这样的分布。作为一个例子，利用Wigner-Weyl和Margenau-Hill对应规则构造了任意自旋为1的集合体的离散概率分布.研究还表明，由非零四极矩原子核暴露于电四极场和偶极磁场的组合作用下所产生的三元自旋1组装在某些情况下表现出压缩效应.

英文摘要：

In contrast to the canonically conjugate variates $q$,$p$ representing the position and momentum of a particle in the phase space distributions, the three Cartesian components, $J_{x}$,$J_{y}$, $J_{z}$ of a spin-$j$ system constitute the mutually non-commuting variates in the quasi-probabilistic spin distributions. It can be shown that a univariate spin distribution is never squeezed and one needs to look into either bivariate or trivariate distributions for signatures of squeezing. Several such distributions result if one considers different characteristic functions or moments based on various correspondence rules. As an example, discrete probability distribution for an arbitrary spin-1 assembly is constructed using Wigner-Weyl and Margenau-Hill correspondence rules. It is also shown that a trivariate spin-1 assembly resulting from the exposure of nucleus with non-zero quadrupole moment to combined electric quadrupole field and dipole magnetic field exhibits squeezing in cerain cases.

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英文摘要：

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