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The relations among Shannon information entropy, quantum discord, concurrence and localization properties of one-dimensional single-electron wave functions

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  • Longyan Gong
  • Yongcui Zheng
  • Haihong Wang
  • Weiwen Cheng
  • Shengmei Zhao

Abstract

Shannon information entropy (SE), concurrence (CC), quantum discord (QD) and localization properties for various one-dimensional one-electron wave functions are intensively studied, respectively. They include Gaussian functions, power-law functions, and functions in the Anderson model and the Harper ones. For all these wave functions, we find that SE, CC and QD increase as the localization length of a wave function increases, respectively. There are linear or quadratic relationships between two of them. Therefore, we can confirm for the analyzed models that SE, CC and QD are statistically equivalent quantities to reflect the localization properties of wave functions though they are different measures of quantum information. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Longyan Gong & Yongcui Zheng & Haihong Wang & Weiwen Cheng & Shengmei Zhao, 2014. "The relations among Shannon information entropy, quantum discord, concurrence and localization properties of one-dimensional single-electron wave functions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(9), pages 1-6, September.
    • Handle: RePEc:spr:eurphb:v:87:y:2014:i:9:p:1-6:10.1140/epjb/e2014-50330-y
    DOI: 10.1140/epjb/e2014-50330-y
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    statistical and Nonlinear Physics;

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