We investigate the ground state phase diagram of square ice -- a U(1) lattice gauge theory in two spatial dimensions -- using gauge invariant tensor network techniques. By correlation function, Wilson loop, and entanglement diagnostics, we characterize its phases and the transitions between them, finding good agreement with previous studies. We study the entanglement properties of string excitations on top of the ground state, and provide direct evidence of the fact that the latter are described by a conformal field theory. Our results pave the way to the application of tensor network methods to confining, two-dimensional lattice gauge theories, to investigate their phase diagrams and low-lying excitations.
Cited by 4
Patrick Emonts et al., Gauss law, minimal coupling and fermionic PEPS for lattice gauge theories
SciPost Phys. Lect. Notes, 12 (2020) [Crossref]
Lorenzo Cardarelli et al., Deconfining Disordered Phase in Two-Dimensional Quantum Link Models
Phys. Rev. Lett. 124, 123601 (2020) [Crossref]
Alessio Celi et al., Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays
Phys. Rev. X 10, 021057 (2020) [Crossref]
Mari Carmen Bañuls et al., Review on novel methods for lattice gauge theories
Rep. Prog. Phys. 83, 024401 (2020) [Crossref]
Ontology / TopicsSee full Ontology or Topics database.
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Universität Ulm / University of Ulm
- 2 Universität des Saarlandes / Saarland University
- 3 Università degli Studi di Padova / University of Padua [UNIPD]
- 4 Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]
- 5 Centro Internazionale di Fisica Teorica Abdus Salam / Abdus Salam International Centre for Theoretical Physics [ICTP]