Information geometry of quantum entangled Gaussian wave-packets

D.-H. Kim, S.A. Ali, C. Cafaro and S. Mancini

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 19, 4517-4556

Abstract: 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.

Keywords: Probability theory; Riemannian geometry; Complexity; Entropy; Quantum entanglement (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:19:p:4517-4556

DOI: 10.1016/j.physa.2012.04.023

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