# Real-time-dynamics quantum simulation of (1+1)-D lattice QED with Rydberg atoms

## TL;DR

This paper proposes a scalable Rydberg-atom quantum simulator for studying non-equilibrium dynamics in (1+1)-D lattice gauge theories, enabling exploration of string dynamics and Schwinger model properties.

## Contribution

It introduces a practical implementation scheme for simulating Abelian lattice gauge theories using Rydberg atoms, leveraging current technology and local gauge symmetry encoding.

## Key findings

- Simulator scheme is based on existing technology.
- Allows exploration of string dynamics in lattice gauge theories.
- Enables inference of properties of the Schwinger U(1) model.

## Abstract

We show how to implement a Rydberg-atom quantum simulator to study the non-equilibrium dynamics of an Abelian (1+1)-D lattice gauge theory. The implementation locally codifies the degrees of freedom of a $\mathbf{Z}_3$ gauge field, once the matter field is integrated out by means of the Gauss' local symmetries. The quantum simulator scheme is based on current available technology and scalable to considerable lattice sizes. It allows, within experimentally reachable regimes, to explore different string dynamics and to infer information about the Schwinger $U(1)$ model.