In these lecture notes, we review some recent works on Hamiltonian lattice gauge theories, that involve, in particular, tensor network methods. The results reviewed here are tailored together in a slightly different way from the one used in the contexts where they were first introduced, by looking at the Gauss law from two different points of view: for the gauge field it is a differential equation, while from the matter point of view, on the other hand, it is a simple, explicit algebraic equation. We will review and discuss what these two points of view allow and do not allow us to do, in terms of unitarily gauging a pure-matter theory and eliminating the matter from a gauge theory, and relate that to the construction of PEPS (Projected Entangled Pair States) for lattice gauge theories.
Cited by 5
Erez Zohar, Local manipulation and measurement of nonlocal many-body operators in lattice gauge theory quantum simulators
Phys. Rev. D 101, 034518 (2020) [Crossref]
Dan-Bo Zhang et al., Selected topics of quantum computing for nuclear physics*
Chinese Phys. B 30, 020306 (2021) [Crossref]
Adrián Franco-Rubio et al., Entanglement renormalization for gauge invariant quantum fields
Phys. Rev. D 103, 025013 (2021) [Crossref]
Erik J. Gustafson et al., Toward quantum simulations of
gauge theory without state preparation
Phys. Rev. D 103, 054507 (2021) [Crossref]
Patrick Emonts et al., Variational Monte Carlo simulation with tensor networks of a pureZ3gauge theory in(2+1)D
Phys. Rev. D 102, 074501 (2020) [Crossref]
Ontology / TopicsSee full Ontology or Topics database.
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Max-Planck-Institut für Quantenoptik / Max Planck Institute of Quantum Optics [MPQ]
- 2 האוניברסיטה העברית בירושלים / Hebrew University of Jerusalem [HUJI]