Gauge symmetry of excited states in projected entangled-pair state simulations
Year: 2024
Type: article
Abstract: While gauge symmetry is a well-established requirement for representing topological orders in projected entangled-pair state (PEPS), its impact on the properties of low-lying excited states remains relatively unexplored. Here we perform PEPS simulations of low-energy dynamics in the Kitaev honeycomb model, which supports fractionalized gauge flux (vison) excitations. We identify gauge symmetry emerging upon optimizing an unbiased PEPS ground state. Using the PEPS adapted local mode approximation, we further classify the low-lying excited states by discerning different vison sectors. Our simulations of spin and spin-dimer dynamical correlations establish close connections with experimental observations. Notably, the selection rule imposed by the locally conserved visons results in nearly flat dispersions in momentum space for excited states belonging to the 2-vison or 4-vison sectors. Published by the American Physical Society 2024
Source: Physical Review Research
Authors: Yi Tan, Ji-Yao Chen, Didier Poilblanc, Jia-Wei Mei
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
Funders: Laboratoire d'Excellence SEAM, Agence Nationale de la Recherche, National Natural Science Foundation of China, Sun Yat-sen University, State Key Laboratory of Low-Dimensional Quantum Physics, Shenzhen Fundamental Research Program, Guangdong Province Introduction of Innovative R&D Team, National Key Research and Development Program of China, Fundamental Research Funds for the Central Universities, Shenzhen Fundamental Research and Discipline Layout project, Basic and Applied Basic Research Foundation of Guangdong Province
Awards: G1481548461, G1979860824, G2023814034, G280530929, G3093461417, Classification and realization of topological phases in strongly correlated systems: a tensor network approach, G3857252858, G3932774137, G4014512154, Kondo-cloud extension around quantum dots, G414541981, G4305413308, G4373005692, G4492605191, G4656594441, G548759876, G5535231794, G5817621264, G5989684428, G6275558674, G7025705851, G721076208, G7339726962, G7619899390, G8074771020, G926875673
OpenAlex ID: W4396569933