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Topological Quantum Computing

SU(3)1 Chiral Spin Liquid on the Square Lattice: a View from Symmetric PEPS

arXiv
Authors: Ji-Yao Chen, Sylvain Capponi, Alexander Wietek, Matthieu Mambrini, Norbert Schuch, Didier Poilblanc

Year

2019

Paper ID

833

Status

Preprint

Abstract Read

~2 min

Abstract Words

121

Citations

N/A

Abstract

Quantum spin liquids can be faithfully represented and efficiently characterized within the framework of Projected Entangled Pair States (PEPS). Guided by extensive exact diagonalization and density matrix renormalization group calculations, we construct an optimized symmetric PEPS for a SU(3)1 chiral spin liquid on the square lattice. Characteristic features are revealed by the entanglement spectrum (ES) on an infinitely long cylinder. In all three mathbb{Z}3 sectors, the level counting of the linear dispersing modes is in full agreement with SU(3)1 Wess-Zumino-Witten conformal field theory prediction. Special features in the ES are shown to be in correspondence with bulk anyonic correlations, indicating a fine structure in the holographic bulk-edge correspondence. Possible universal properties of topological SU(N)k chiral PEPS are discussed.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2019 reference point for readers tracking recent quantum research.
  • Quantum spin liquids can be faithfully represented and efficiently characterized within the framework of Projected Entangled Pair States (PEPS).

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1912.13393 [2] arXiv https://arxiv.org/abs/1912.13393 [3] Publisher https://arxiv.org/abs/1912.13393

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