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Title: Entanglement in the Majumdar-Ghosh model

Abstract

We present an analysis of the entanglement characteristics in the Majumdar-Ghosh (MG) or J{sub 1}-J{sub 2} Heisenberg model. For a system consisting of up to 28 spins, there is a deviation from the scaling behavior of the entanglement entropy characterizing the unfrustrated Heisenberg chain above J{sub 2}{approx_equal}0.25. This feature can be used as an indicator of the dimer phase transition occurring in this model. Additionally, we also consider entanglement at the MG point J{sub 2}=0.5J{sub 1}.

Authors:
; ;  [1];  [2]
  1. Physics Department, Adam Mickiewicz University, Umultowska 85, 61-614 Poznan (Poland)
  2. Institut fuer Theoretische Physik, Universitaet Magdeburg, P.O. Box 4120, D-39016 Magdeburg (Germany)
Publication Date:
OSTI Identifier:
20982286
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.032340; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIMERS; ENTROPY; HEISENBERG MODEL; PHASE TRANSFORMATIONS; QUANTUM ENTANGLEMENT; SCALING; SPIN

Citation Formats

Chhajlany, Ravindra W., Tomczak, Piotr, Wojcik, Antoni, and Richter, Johannes. Entanglement in the Majumdar-Ghosh model. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.032340.
Chhajlany, Ravindra W., Tomczak, Piotr, Wojcik, Antoni, & Richter, Johannes. Entanglement in the Majumdar-Ghosh model. United States. doi:10.1103/PHYSREVA.75.032340.
Chhajlany, Ravindra W., Tomczak, Piotr, Wojcik, Antoni, and Richter, Johannes. Thu . "Entanglement in the Majumdar-Ghosh model". United States. doi:10.1103/PHYSREVA.75.032340.
@article{osti_20982286,
title = {Entanglement in the Majumdar-Ghosh model},
author = {Chhajlany, Ravindra W. and Tomczak, Piotr and Wojcik, Antoni and Richter, Johannes},
abstractNote = {We present an analysis of the entanglement characteristics in the Majumdar-Ghosh (MG) or J{sub 1}-J{sub 2} Heisenberg model. For a system consisting of up to 28 spins, there is a deviation from the scaling behavior of the entanglement entropy characterizing the unfrustrated Heisenberg chain above J{sub 2}{approx_equal}0.25. This feature can be used as an indicator of the dimer phase transition occurring in this model. Additionally, we also consider entanglement at the MG point J{sub 2}=0.5J{sub 1}.},
doi = {10.1103/PHYSREVA.75.032340},
journal = {Physical Review. A},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}