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Relativistic Quantum Information of Anyons

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Abstract

In this paper, a method is developed to investigate the relativistic quantum information of anyons. Anyons are particles with intermediate statistics ranging between Bose-Einstein and Fermi-Dirac statistics, with a parameter α (0 < α < 1) characteristic of this intermediate statistics. A density matrix is also introduced as a combination of the density matrices of bosons and fermions with a continuous parameter, α, that represents the behavior of anyons. This density matrix reduces to bosonic and fermionic density matrices in the limits \(\alpha \rightarrow 0\) and \(\alpha \rightarrow 1\), respectively. We compute entanglement entropy, negativity, and coherency for anyons in non-inertial frames as a function of α. We also computed quantum fisher information for these particles. Semions, which are particles with α = 0.5, were found to have minimum quantum fisher information with respect to α than those with other values of fractional parameter.

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Authors and Affiliations

  1. Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, 45137-66731, Iran

    Leili Esmaeilifar

  2. Department of Physics, Isfahan University of Technology, Isfahan, 84156-83111, Iran

    Behrouz Mirza

  3. Department of Physics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran

    Hosein Mohammadzadeh

Authors
  1. Leili Esmaeilifar
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  2. Behrouz Mirza
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  3. Hosein Mohammadzadeh
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Correspondence to Behrouz Mirza.

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Esmaeilifar, L., Mirza, B. & Mohammadzadeh, H. Relativistic Quantum Information of Anyons. Int J Theor Phys 59, 3289–3298 (2020). https://doi.org/10.1007/s10773-020-04586-y

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