• Open Access

Entanglement and relative entropy of a chiral fermion on the torus

Pascal Fries and Ignacio A. Reyes
Phys. Rev. D 100, 105015 – Published 19 November 2019

Abstract

We derive the entanglement entropy of chiral fermions on the circle at arbitrary temperature. The spin-sector contribution depends only on the total length of the entangling region, regardless of the configuration of the intervals. Thus, three-partite information provides a global indicator for the spin boundary conditions. Together with the modular Hamiltonian, our results provide a systematic way of obtaining relative entropy on the torus.

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  • Received 12 July 2019

DOI:https://doi.org/10.1103/PhysRevD.100.105015

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyParticles & Fields

Authors & Affiliations

Pascal Fries1,* and Ignacio A. Reyes2,†

  • 1Fakultät für Physik und Astronomie, Julius-Maximilians Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
  • 2Max-Planck-Institut für Gravitationsphysik, Am Mühlenberg 1, 14476 Potsdam, Germany

  • *pascal.fries@physik.uni-wuerzburg.de
  • ignacio.reyes@aei.mpg.de

See Also

Entanglement Spectrum of Chiral Fermions on the Torus

Pascal Fries and Ignacio A. Reyes
Phys. Rev. Lett. 123, 211603 (2019)

Article Text

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Issue

Vol. 100, Iss. 10 — 15 November 2019

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