From gauging to duality in one-dimensional quantum lattice models
Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensional quantum lattice models. This is demonstrated by making use of matrix product operators, which provide the lattice representation theory for global (categorical) symmetries as well as a classification of duality transformations. Our construction makes the symmetries of the gauged theory manifest and clarifies how to deal with static background fields when gauging generalised symmetries.
Authors
- José Garre-Rubio (ORCID: https://orcid.org/0000-0003-1845-7554)
- Bram Vancraeynest-De Cuiper (ORCID: https://orcid.org/0000-0003-0080-2030)
- Dominic J. Williamson (ORCID: https://orcid.org/0000-0002-8029-6408)
- Laurens Lootens (ORCID: https://orcid.org/0000-0002-1364-4863)
- Kevin Vervoort
- Frank Verstraete
Institutions
- The University of Sydney (AU)
- University of Vienna (AT)
- University of Cambridge (GB)
- Ghent University Hospital (BE)
- Instituto de Física Teórica (ES)
Publication Details
- Journal
- SciPost Physics
- Published
- 2026-04-15
- DOI
- https://doi.org/10.21468/scipostphys.20.4.113
- Primary Topic
- Quantum many-body systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- UK Research and Innovation
- Austrian Science Fund
- Fonds Wetenschappelijk Onderzoek
- Vlaamse regering
- Engineering and Physical Sciences Research Council