The \bfZ_\bf2 toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit

2016/12/31 by Wei Wang, Barbara Capogrosso-Sansone · 2 citations
Mathematics · Physics and Astronomy · #Bioinformatics #Biology #Class (philosophy) #Combinatorics #Computer science #Degeneracy (biology) #Limit (mathematics) #Mathematics #Net (polyhedron) #Order (exchange) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Range (aeronautics) #String (physics) #Theoretical physics #Topological order #Topology (electrical circuits) #Toric code #Type (biology) #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1038/s41598-017-11299-6

published in Scientific Reports 7(1), 11071 (Nature Portfolio) · 15 pages, 8 figures

arxiv created 2017/08/22 · openalex created_date 2017/08/31 · openalex publication_date 2017/09/05 · arxiv updated 2017/10/18 · openalex updated_date 2026/08/06

Abstract

We present a generic framework for the emergence of the [Formula: see text] toric-code and the double-semion topological order in a wide class of hardcore Bose-Hubbard-type models governed by density-density interaction and in the strong-interaction regime. We fix fractional filling factor and study under which conditions the density-density interaction gives rise to topological degeneracy. We further specify which dynamics determines the toric-code and the double-semion topological order. Our results indicate that the specifics of the density-density interaction determine the long-range entanglement of the model which possesses "restricted patterns" of the long-range entanglement realized in corresponding string-net models with the same topological order.

Citations

• Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
• Hardcore bosons on checkerboard lattices near half filling: Geometric frustration, vanishing charge order, and a fractional phase
• Strong-coupling expansions for the topologically inhomogeneous Bose-Hubbard model
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• Quantum Information Meets Quantum Matter