Entanglement in the Majumdar-Ghosh model

doi:10.1103/PHYSREVA.75.032340

Title: Entanglement in the Majumdar-Ghosh model

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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:

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

Physics Department, Adam Mickiewicz University, Umultowska 85, 61-614 Poznan (Poland)
Institut fuer Theoretische Physik, Universitaet Magdeburg, P.O. Box 4120, D-39016 Magdeburg (Germany)

Publication Date:: Thu Mar 15 00:00:00 EDT 2007

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.

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                    Chhajlany, Ravindra W., Tomczak, Piotr, Wojcik, Antoni, & Richter, Johannes. Entanglement in the Majumdar-Ghosh model.  United States.  doi:10.1103/PHYSREVA.75.032340.

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                    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.

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@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}

}

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DOI: 10.1103/PHYSREVA.75.032340

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