Constructing U(1) gauge symmetry in electronic circuits

Classical electronic circuits have proven powerful to study several topological lattice structures (Ningyuan et al., PRX 5, 2015; Imhof et al., Nat. Phys. 14, 2019). Here, we present an electronic circuit described by a lattice Hamiltonian with local U(1) symmetry and explore the extent to which a classical physical simulator in the form of an electronic circuit might be useful as a stepping stone for lattice gauge theories like SU(2).