A digital Rydberg simulation of dynamical quantum phase transitions in the Schwinger model

TL;DR

This paper demonstrates simulating the quench dynamics of the Z3 Schwinger model using a digital noisy Rydberg atom platform, successfully observing multiple dynamical quantum phase transitions despite noise and circuit compression.

Contribution

It introduces a method for simulating the Z3 Schwinger model dynamics on Rydberg atoms, incorporating symmetry-based encoding and circuit compression to detect phase transitions.

Findings

Successful observation of multiple dynamical quantum phase transitions.

Effective encoding and circuit compression techniques for long-time dynamics.

Robust detection of phase transitions despite noise.

Abstract

We present the simulation of the quench dynamics of the Z3 Schwinger model, that describes an approximation of one-dimensional Quantum Electrodynamics, on a digital noisy Rydberg atom platform, aiming at the observation of multiple dynamical quantum phase transitions. In order to reach long-time dynamics, we exploit an enconding dictated by the symmetries, combined with a circuit compression procedure. We focus on a quench that evolves the Dirac vacuum by means of a Hamiltonian depending on a negative mass parameter. This leads to resonant Rabi oscillations between the Dirac vacuum and mesonic states. The population concentration exhibits oscillations with negligible fluctuations of detuned states also with the inclusion of combined noise sources, from which we can clearly detect multiple dynamical phase transitions.