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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Information geometry of quantum entangled Gaussian wave-packets
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Information geometry of quantum entangled Gaussian wave-packets

机译：量子纠缠高斯波包的信息几何

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摘要

We apply information geometric (IG) techniques to study s-wave, scattering-induced quantum entanglement. Application of IG methods enables use of statistical manifolds associated with correlated and non-correlated Gaussian probability distribution functions to model the quantum entanglement of two spinless, structureless, non-relativistic particles, the latter represented by minimum uncertainty Gaussian wave-packets. Our analysis leads to the following relevant findings: first, we are able to express the entanglement strength, quantified by the subsystem purity, in terms of scattering potential and incident particle energies, which in turn, are related to the micro-correlation coefficient r, a quantity that parameterizes the correlated microscopic degrees of freedom of the system; second, we show that the entanglement duration can be controlled by the initial momentum po, momentum spread σo and r. Finally, we uncover a quantitative relation between quantum entanglement and information geometric complexity.
机译：我们应用信息几何（IG）技术来研究s波，散射引起的量子纠缠。 IG方法的应用使得能够使用与相关和不相关的高斯概率分布函数相关的统计流形来建模两个无旋转，无结构，非相对论粒子的量子纠缠，后者由最小不确定性高斯波包表示。我们的分析得出以下相关结论：首先，我们能够用散射势和入射粒子能量来表示由子系统纯度量化的纠缠强度，而纠缠强度又与微相关系数r相关，参数化系统相关微观自由度的数量;其次，我们表明缠结持续时间可以由初始动量po，动量散布σo和r控制。最后，我们揭示了量子纠缠与信息几何复杂度之间的定量关系。

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