Reference : Entanglement and Localization of Wavefunctions
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Physical, chemical, mathematical & earth Sciences : Physics
Entanglement and Localization of Wavefunctions
Giraud, Olivier [Université de Toulouse; UPS; Laboratoire de Physique Théorique (IRSAMC); CNRS; LPT (IRSAMC)]
Georgeot, Bertrand [Université de Toulouse; UPS; Laboratoire de Physique Théorique (IRSAMC); CNRS; LPT (IRSAMC)]
Martin, John mailto [Université de Liège - ULiège > Département de physique > Spectroscopie atomique et Physique des atomes froids >]
Complex Phenomena in Nanoscale Systems, NATO Science for Peace and Security Series B: Physics and Biophysics, Volume . ISBN 978-90-481-3118-1. Springer Netherlands, 2009, p. 51
[en] We review recent works that relate entanglement of random vectors to their localization properties. In particular, the linear entropy is related by a simple expression to the inverse participation ratio, while next orders of the entropy of entanglement contain information about e.g. the multifractal exponents. Numerical simulations show that these results can account for the entanglement present in wavefunctions of physical systems.

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