Thermal quantum and classical correlations and entanglement in the XY spin model with three-spin interaction

Yanchao, Li; Haiqing, Lin

doi:10.1103/PHYSREVA.83.052323

Title: Thermal quantum and classical correlations and entanglement in the XY spin model with three-spin interaction

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Abstract

Pairwise quantum discord (QD) and classical correlation (CC) are studied in the XY spin chain with three-spin interaction. We analyze their capability in detecting quantum phase transitions (QPTs) at both zero and finite temperatures and find that the pairwise QD of two neighboring spins is more reliable than that of any other distances in identifying QPTs. Both the QD and CC detect quantum critical points associated with first- and higher-order QPTs caused by field and three-spin interactions at finite temperatures. In addition, we find a different finite-size scaling behavior for QD from previous reports for the transverse field Ising case and show some interesting phenomena of QD and entanglement of formation for finite temperatures.

Authors:

Yanchao, Li; Haiqing, Lin ^[1]

Beijing Computational Science Research Center, Beijing 100084 (China)

Publication Date:: Sun May 15 00:00:00 EDT 2011

OSTI Identifier:: 21546740

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 83; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.83.052323; (c) 2011 American Institute of Physics; Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; 36 MATERIALS SCIENCE; CORRELATIONS; DISTANCE; INTERACTIONS; ISING MODEL; PHASE TRANSFORMATIONS; QUANTUM ENTANGLEMENT; SCALING; SPIN; THREE-BODY PROBLEM; ANGULAR MOMENTUM; CRYSTAL MODELS; MANY-BODY PROBLEM; MATHEMATICAL MODELS; PARTICLE PROPERTIES

Citation Formats


                    Yanchao, Li, and Haiqing, Lin. Thermal quantum and classical correlations and entanglement in the XY spin model with three-spin interaction.  United States: N. p., 2011. 
        Web.  doi:10.1103/PHYSREVA.83.052323.

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                    Yanchao, Li, & Haiqing, Lin. Thermal quantum and classical correlations and entanglement in the XY spin model with three-spin interaction.  United States.  https://doi.org/10.1103/PHYSREVA.83.052323

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                    Yanchao, Li, and Haiqing, Lin. 2011.  
        "Thermal quantum and classical correlations and entanglement in the XY spin model with three-spin interaction".  United States.  https://doi.org/10.1103/PHYSREVA.83.052323.

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@article{osti_21546740,

  title        = {Thermal quantum and classical correlations and entanglement in the XY spin model with three-spin interaction},

  author       = {Yanchao, Li and Haiqing, Lin},

  abstractNote = {Pairwise quantum discord (QD) and classical correlation (CC) are studied in the XY spin chain with three-spin interaction. We analyze their capability in detecting quantum phase transitions (QPTs) at both zero and finite temperatures and find that the pairwise QD of two neighboring spins is more reliable than that of any other distances in identifying QPTs. Both the QD and CC detect quantum critical points associated with first- and higher-order QPTs caused by field and three-spin interactions at finite temperatures. In addition, we find a different finite-size scaling behavior for QD from previous reports for the transverse field Ising case and show some interesting phenomena of QD and entanglement of formation for finite temperatures.},

  doi          = {10.1103/PHYSREVA.83.052323},

  url          = {https://www.osti.gov/biblio/21546740},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 5,

  volume       = 83,

  place        = {United States},

  year         = {Sun May 15 00:00:00 EDT 2011},

  month        = {Sun May 15 00:00:00 EDT 2011}

}

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