Reference : Entropy of entanglement and multifractal exponents for random states
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/30519
Entropy of entanglement and multifractal exponents for random states
English
Giraud, O. [Université de Toulouse; UPS; Laboratoire de Physique Théorique (IRSAMC); F-31062 Toulouse, France; CNRS; LPT (IRSAMC); F-31062 Toulouse, France]
Martin, John mailto [Université de Liège - ULg > Département de physique > Physique des atomes froids >]
Georgeot, B. [Université de Toulouse; UPS; Laboratoire de Physique Théorique (IRSAMC); F-31062 Toulouse, France; CNRS; LPT (IRSAMC); F-31062 Toulouse, France]
2009
Physical Review. A
American Physical Society
79
32308
Yes
International
1050-2947
1094-1622
College Park
MD
[en] We relate the entropy of entanglement of ensembles of random vectors to their generalized fractal dimensions. Expanding the von Neumann entropy around its maximum we show that the first order only depends on the participation ratio, while higher orders involve other multifractal exponents. These results can be applied to entanglement behavior near the Anderson transition.
http://hdl.handle.net/2268/30519
10.1103/PhysRevA.79.032308
http://link.aps.org/doi/10.1103/PhysRevA.79.032308
http://de.arxiv.org/abs/0807.3716

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