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author:

Yu, Xue-Jia (Yu, Xue-Jia.) [1] | Yang, Sheng (Yang, Sheng.) [2] | Lin, Hai-Qing (Lin, Hai-Qing.) [3] | Jian, Shao-Kai (Jian, Shao-Kai.) [4]

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Abstract:

Quantum entanglement marks a definitive feature of topological states. However, the entanglement spectrum remains insufficiently explored for topological states without a bulk energy gap. Using a combination of field theory and numerical techniques, we accurately calculate and analyze the entanglement spectrum of gapless symmetry protected topological states in one dimension. We highlight that the universal entanglement spectrum not only encodes the nontrivial edge degeneracy, generalizing the Li-Haldane conjecture to gapless topological states, but also contains the operator content of the underlying boundary conformal field theory. This implies that the bulk wave function can act as a fingerprint of both quantum criticality and topology in gapless symmetry protected topological states. We also identify a symmetry enriched conformal boundary condition that goes beyond the conventional conformal boundary condition. © 2024 American Physical Society.

Keyword:

Boundary conditions Quantum entanglement Topology Wave functions

Community:

  • [ 1 ] [Yu, Xue-Jia]Department of Physics, Fuzhou University, Fujian, Fuzhou; 350116, China
  • [ 2 ] [Yu, Xue-Jia]Fujian Key Laboratory of Quantum Information and Quantum Optics, College of Physics and Information Engineering, Fuzhou University, Fujian, Fuzhou; 350108, China
  • [ 3 ] [Yang, Sheng]Institute for Advanced Study in Physics, School of Physics, Zhejiang University, Hangzhou; 310058, China
  • [ 4 ] [Lin, Hai-Qing]Institute for Advanced Study in Physics, School of Physics, Zhejiang University, Hangzhou; 310058, China
  • [ 5 ] [Jian, Shao-Kai]Department of Physics and Engineering Physics, Tulane University, New Orleans; LA; 70118, United States

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Source :

Physical Review Letters

ISSN: 0031-9007

Year: 2024

Issue: 2

Volume: 133

8 . 1 0 0

JCR@2023

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ESI Highly Cited Papers on the List: 0 Unfold All

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30 Days PV: 0

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