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Title: Localizable entanglement in antiferromagnetic spin chains

Abstract

Antiferromagnetic spin chains play an important role in condensed matter and statistical mechanics. Recently XXX spin chain was discussed in relation to information theory. Here we consider localizable entanglement. It is how much entanglement can be localized on two spins by performing local measurements on other individual spins (in a system of many interacting spins). We consider the ground state of antiferromagnetic spin chain. We study localizable entanglement [represented by concurrence] between two spins. It is a function of the distance. We start with isotropic spin chain. Then we study effects of anisotropy and magnetic field. We conclude that anisotropy increases the localizable entanglement. We discovered high sensitivity to a magnetic field in cases of high symmetry. We also evaluated concurrence of these two spins before the measurement to illustrate that the measurement raises the concurrence.

Authors:
;  [1]
  1. C.N. Yang Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3840 (United States)
Publication Date:
OSTI Identifier:
20643739
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 69; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.69.062314; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 36 MATERIALS SCIENCE; ANISOTROPY; ANTIFERROMAGNETISM; CORRELATIONS; DISTANCE; GROUND STATES; INFORMATION THEORY; MAGNETIC FIELDS; QUANTUM MECHANICS; SENSITIVITY; SPIN; STATISTICAL MECHANICS; SYMMETRY

Citation Formats

Jin, B.-Q., and Korepin, V.E.. Localizable entanglement in antiferromagnetic spin chains. United States: N. p., 2004. Web. doi:10.1103/PhysRevA.69.062314.
Jin, B.-Q., & Korepin, V.E.. Localizable entanglement in antiferromagnetic spin chains. United States. doi:10.1103/PhysRevA.69.062314.
Jin, B.-Q., and Korepin, V.E.. Tue . "Localizable entanglement in antiferromagnetic spin chains". United States. doi:10.1103/PhysRevA.69.062314.
@article{osti_20643739,
title = {Localizable entanglement in antiferromagnetic spin chains},
author = {Jin, B.-Q. and Korepin, V.E.},
abstractNote = {Antiferromagnetic spin chains play an important role in condensed matter and statistical mechanics. Recently XXX spin chain was discussed in relation to information theory. Here we consider localizable entanglement. It is how much entanglement can be localized on two spins by performing local measurements on other individual spins (in a system of many interacting spins). We consider the ground state of antiferromagnetic spin chain. We study localizable entanglement [represented by concurrence] between two spins. It is a function of the distance. We start with isotropic spin chain. Then we study effects of anisotropy and magnetic field. We conclude that anisotropy increases the localizable entanglement. We discovered high sensitivity to a magnetic field in cases of high symmetry. We also evaluated concurrence of these two spins before the measurement to illustrate that the measurement raises the concurrence.},
doi = {10.1103/PhysRevA.69.062314},
journal = {Physical Review. A},
number = 6,
volume = 69,
place = {United States},
year = {Tue Jun 01 00:00:00 EDT 2004},
month = {Tue Jun 01 00:00:00 EDT 2004}
}