Analog quantum simulation of the Schwinger model with Josephson junction arrays

We explore the massive Schwinger model in its bosonized form, with a focus on a proposal for simulating its dynamics using Josephson junction (JJ) arrays. In its bosonized form, the Schwinger model is dual to a Sine-Gordon (SG) model with additional relevant terms which describe the dynamics of the fermionic four-current and the gauge field. We investigate the structure of atom-like states in the presence of an external point source as a function of the elementary charge and mass of the charge carriers, and describe the scattering and decay properties of the system. Finally, we outline a detailed proposal for the analog simulation of the Schwinger model on a JJ array platform including state preparation and measurement.