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The entanglement entropy for quantum system in one spatial dimension

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Abstract

Ground-state entanglement entropies were investigated for the one-dimension quantum two- and three-spin interaction models, the four-state Potts model, and the XXZ model with uniaxial single-ion-type anisotropy, which were obtained on an infinite-size lattice in one spatial dimension. Thus we show that the entanglement, a key concept of quantum information science, is quantified by the ground-state entanglement entropy. The relationships between ground-state entanglement entropy and quantum phase transition was analyzed. These results were obtained using the infinite matrix product state algorithm which works in the thermodynamical limit.

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Authors and Affiliations

  1. Laboratory of Forensic Medicine and Biomedical Information, Chongqing Medical University, Chongqing, 400016, P.R. China

    Honglei Wang, Bo Liang & Longcong Chen

  2. School of Science, Xian Polytechnic University, Xi’an, 710048, P.R. China

    Yao Heng Su

Authors
  1. Honglei Wang
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  2. Yao Heng Su
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  3. Bo Liang
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  4. Longcong Chen
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Correspondence to Longcong Chen.

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Wang, H., Su, Y., Liang, B. et al. The entanglement entropy for quantum system in one spatial dimension. Eur. Phys. J. B 88, 26 (2015). https://doi.org/10.1140/epjb/e2014-50222-2

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  • DOI: https://doi.org/10.1140/epjb/e2014-50222-2

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