Entanglement and localization of wavefunctions

Olivier Giraud (1) , John Martin (1, 2) , Bertrand Georgeot (1)

1 ICQ - Cohérence Quantique (LPT)
2 LPT - Laboratoire de Physique Théorique

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.

Domaines: Physique Quantique [quant-ph]

Olivier Giraud, John Martin, Bertrand Georgeot. Entanglement and localization of wavefunctions. Casati; G; Matrasulov; D. Complex Phenomena in Nanoscale Systems, SPRINGER-VERLAG, pp.51-63, 2009, NATO Science for Peace and Security Series B - Physics and Biophysics, 978-90-481-3118-1. ⟨10.1007/978-90-481-3120-4_5⟩. ⟨hal-00419572⟩