Matrix product state representation of non-Abelian quasiholes

Abstract

We provide a detailed explanation of the formalism necessary to construct matrix product states for non-Abelian quasiholes in fractional quantum Hall model states. Our construction yields an efficient representation of the wave functions with conformal-block normalization and monodromy, and complements the matrix product state representation of fractional quantum Hall ground states.

14 pages, 2 figures; published version

References in corpus (9)

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• The density-matrix renormalization group in the age of matrix product states
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• Numerical Analysis of Quasiholes of the Moore-Read Wavefunction
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Cited by in corpus (9)

• Equipartition of Entanglement in Quantum Hall States
• Microscopic Study of the Halperin - Laughlin Interface through Matrix Product States
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• Operator-state correspondence in simple current extended conformal field theories: Toward a general understanding of chiral conformal field theories and topological orders
• Inner workings of fractional quantum Hall parent Hamiltonians: A matrix product state point of view
• Conformal field theory construction for nonabelian hierarchy wave functions
• Spin fractionalization at the edge of quantum Hall fluids induced by bulk quasiparticles
• Linking infinite bond-dimension matrix product states with frustration-free Hamiltonians
• Symmetry Resolved Entanglement Entropy in a Non-Abelian Fractional Quantum Hall State