Exact parent Hamiltonians of bosonic and fermionic Moore–Read states on lattices and local models

DOI10.1088/1367-2630/17/8/082001zbMath1454.81253arXiv1505.04998OpenAlexW1737824367WikidataQ59458555 ScholiaQ59458555MaRDI QIDQ5151579

Anne E. B. Nielsen, J. Ignacio Cirac, Ivan Glasser, Germán Sierra

Publication date: 19 February 2021

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.04998

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Anyons (81V27) Entanglement measures, concurrencies, separability criteria (81P42)

Related Items (4)

Chiral conformal field theory for topological states and the anyon eigenbasis on the torus ⋮ Lattice Laughlin states on the torus from conformal field theory ⋮ Parent Hamiltonians for lattice Halperin states from free-boson conformal field theories ⋮ Local Hamiltonians for one-dimensional critical models

Cites Work

• Conformal field theory
• Construction of spin models displaying quantum criticality from quantum field theory
• Quantum spin models for the \(\operatorname{SU}(n)_1\) Wess-Zumino-Witten model
• Infinite matrix product states for long-range \(\operatorname{SU}(N)\) spin models
• \(2n\)-quasihole states realize \(2^{n-1}\)-dimensional spinor braiding statistics in paired quantum Hall states
• Fault-tolerant quantum computation by anyons
• TOPOLOGICAL FLAT BAND MODELS AND FRACTIONAL CHERN INSULATORS
• Algorithm 923
• Chiral correlators of the Ising conformal field theory
• Non-Abelian anyons and topological quantum computation
• Quantum spin Hamiltonians for theSU(2)_kWZW model

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