[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
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