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Topological Quantum Computing

Drinfeld Center as Quantum State Monodromy over Bloch Hamiltonians around Defects

arXiv

Authors: Hisham Sati, Urs Schreiber

Year

2026

Paper ID

35851

Status

Preprint

Abstract Read

~2 min

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Abstract

The Drinfeld center fusion category mathcal{Z}\(Vec_G\) famously models anyons in certain lattice models. Here we demonstrate how its fusion rules may also describe topological order in fractional topological insulator materials, in the vicinity of point defects in the Brillouin zone. Concretely, we prove that mathcal{Z}\(Vec_G\) reflects, locally over a punctured disk in the Brillouin zone, the monodromy (topological order) of gapped quantum states over the parameter space of Bloch Hamiltonians whose classifying space has fundamental group G.

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The Drinfeld center fusion category mathcalZ(VecG) famously models anyons in certain lattice models.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.22029 [2] arXiv https://arxiv.org/abs/2603.22029 [3] Publisher https://arxiv.org/abs/2603.22029

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