68 citations · 68 across the 2 of their papers we have counts for
3 papers
quant-ph2020★ 68 cited
Generalized string-nets for unitary fusion categories without tetrahedral symmetry
Alexander Hahn, Ramona Wolf
The Levin-Wen model of string-net condensation explains how topological phases emerge from the microscopic degrees of freedom of a physical system. However, the original constructi…
quant-ph2019
Gauging Defects in Quantum Spin Systems
Jacob C. Bridgeman, Alexander Hahn, Tobias J. Osborne +1
The goal of this work is to build a dynamical theory of defects for quantum spin systems. A kinematic theory for an indefinite number of defects is first introduced exploiting dist…
quant-ph2018
From categories to anyons: a travelogue
Kerstin Beer, Dmytro Bondarenko, Alexander Hahn +8
In this paper we provide an overview of category theory, focussing on applications in physics. The route we follow is motivated by the final goal of understanding anyons and topolo…