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.

arXiv comment14 pages, 2 figures; published version

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• Hyperspherical approach to the three-bosons problem in 2D with a magnetic field
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• Conformal field theory construction for nonabelian hierarchy wave functions
• Spin fractionalization at the edge of quantum Hall fluids induced by bulk quasiparticles
• Symmetry Resolved Entanglement Entropy in a Non-Abelian Fractional Quantum Hall State
• Linking infinite bond-dimension matrix product states with frustration-free Hamiltonians