Spurious Topological Entanglement Entropy from Subsystem Symmetries

Dominic J. Williamson, Arpit Dua, and Meng Cheng
Phys. Rev. Lett. 122, 140506 – Published 12 April 2019
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Abstract

We demonstrate that linear combinations of subregion entropies with canceling boundary terms, commonly used to calculate the topological entanglement entropy, may suffer from spurious nontopological contributions even in models with zero correlation length. These spurious contributions are due to a specific kind of long-range string order and persist throughout certain subsystem symmetry-protected phases. We introduce an entropic quantity that measures the presence of such order, and hence should serve as an order parameter for the aforementioned phases.

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  • Received 16 September 2018

DOI:https://doi.org/10.1103/PhysRevLett.122.140506

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Dominic J. Williamson1, Arpit Dua1,2, and Meng Cheng1

  • 1Department of Physics, Yale University, New Haven, Connecticut 06520-8120, USA
  • 2Yale Quantum Institute, Yale University, New Haven, Connecticut 06520, USA

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Issue

Vol. 122, Iss. 14 — 12 April 2019

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