Information geometry of quantum entangled Gaussian wave-packets

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• 作者：D.-H. Kim^a ; ^b ; ^{ki1313@yahoo.com} ; ^{ki13130@gmail.com} ; S.A. Ali^b ; ^c ; ^d ; C. Cafaro^e ; ^f ; ^g ; S. Mancini^e
• 关键词：Probability theory ; Riemannian geometry ; Complexity ; Entropy ; Quantum entanglement
• 刊名：Physica A
• 出版年：2012
• 期刊代码：138_03784371
• 类别：et
• 出版时间：1 October, 2012
• 卷：391
• 期：19
• 页码：4517-4556
• 文件大小：652 K

摘要

We apply information geometric (IG)聽techniques to study -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 , 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 , momentum spread and . Finally, we uncover a quantitative relation between quantum entanglement and information geometric complexity.