Entanglement in the Majumdar-Ghosh model

Journal Article · Thu Mar 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.75.032340· OSTI ID:20982286

Chhajlany, Ravindra W; Tomczak, Piotr; Wojcik, Antoni ^[1]; Richter, Johannes ^[2]

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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)

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}.

• OSTI ID: 20982286
• Journal Information: Physical Review. A, Vol. 75, Issue 3; Other Information: DOI: 10.1103/PhysRevA.75.032340; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIMERS
ENTROPY
HEISENBERG MODEL
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
SCALING
SPIN