Year: 2023
Type: preprint
Abstract: We describe in a simple setting how to extract a unitary braided fusion category from a collection of superselection sectors of a two-dimensional quantum spin system, corresponding to abelian anyons. The structure of the unitary braided fusion category is given by F and R-symbols, which describe fusion and braiding of the anyons. We then construct the double semion state in infinite volume and extract the unitary braided fusion category describing its semion, anti-semion, and bound state excitations. We verify that this category corresponds to the representation category of the twisted quantum double of Z_2.
Source: arXiv (Cornell University)
Authors: Bols, Alex, Kjaer, Boris, Moon, Alvin
Institutions: California Institute of Technology, RAND Corporation
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: Villum Fonden
Awards: G7352392636, G8583218951
OpenAlex ID: W4382319463