Entanglement of localized states

[en] We derive exact expressions for the mean value of Meyer-Wallach entanglement Q for localized random vectors drawn from various ensembles corresponding to different physical situations. For vectors localized on a randomly chosen subset of the basis, <Q> tends for large system sizes to a constant which depends on the participation ratio, whereas for vectors localized on adjacent basis states it goes to zero as a constant over the number of qubits. Applications to many-body systems and Anderson localization are discussed.

Disciplines :

Physics

Author, co-author :

Giraud, O.; Laboratoire de Physique Théorique, Université Toulouse III, CNRS, 31062 Toulouse, France

Martin, John ; Université de Liège - ULiège > Département de physique > Physique des atomes froids

Georgeot, B.; Laboratoire de Physique Théorique, Université Toulouse III, CNRS, 31062 Toulouse, France

Language :

English

Title :

Entanglement of localized states

Publication date :

2007

Journal title :

Physical Review. A, Atomic, molecular, and optical physics

ISSN :

1050-2947

eISSN :

1094-1622

Publisher :

American Physical Society, United States - Maryland

Volume :

Pages :

42333

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://link.aps.org/doi/10.1103/PhysRevA.76.042333

Commentary :

http://de.arxiv.org/abs/0704.2765

Available on ORBi :

since 30 November 2009

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