Engineering a U(1) lattice gauge theory in classical electric circuits [Research Data and Code]

However, the challenges posed by the scalability of such lattice gauge simulators are pressing, thereby making the exploration of different experimental setups desirable. Here, we realize a U(1) lattice gauge theory with five matter sites and four gauge links in classical electric circuits employing nonlinear elements connecting LC oscillators. This allows for probing previously inaccessible spectral and transport properties in a multi-site system.

We directly observe Gauss's law, known from electrodynamics, and the emergence of long-range interactions between massive particles in full agreement with theoretical predictions. Our work paves the way for investigations of increasingly complex gauge theories on table-top classical setups, and demonstrates the precise control of nonlinear effects within metamaterial devices. Dataset files: MM-DD: folders with raw data, named by date in 2021.

U1 Simulations.ipynb: Numerical simulations. Produces files for U1 Figures.ipynb too. U1 Figures.ipynb: Data analysis for figures appearing in paper.

KiCad_U1-block/: Schematic and PCB design. redpitaya-measurements/: Measurement scripts used with Red Pitaya. To simply retrieve the figures of paper, use the arXiv:2108.01086 source.