Supersymmetry dynamics on Rydberg atom arrays

TL;DR

This paper proposes simulating quantum supersymmetry using Floquet-engineered Rydberg atom arrays, demonstrating SUSY properties through supercharge dynamics and paving the way for experimental exploration.

Contribution

It introduces a method to realize and detect quantum supersymmetry in Rydberg atom arrays via Floquet engineering and supercharge dynamics analysis.

Findings

Supercharge expectation value remains constant in SUSY models during evolution.

Simulation results validate the feasibility of realizing SUSY in Rydberg arrays.

The approach is ready for experimental implementation.

Abstract

Spacetime supersymmetry (SUSY) that interchanges fermions and bosons is of great theoretical importance but has not yet been revealed experimentally in particle physics. It has also been desired to explore quantum-mechanical SUSY in microscopic lattice models. Inspired by the recent experiments of Floquet engineering of Rydberg atom arrays, we propose to simulate quantum mechanical supersymmetric model and realize quantum mechanical SUSY in Floquet Rydberg atom arrays. Moreover, we utilize the supercharge dynamics to demonstrate the SUSY property of the model under investigation: the expectation value of supercharge freezes under time evolution for supersymmetric lattice models in contrast to the trivial oscillation for generic nonsupersymmetric lattice models. The proposal is validated on direct simulation of Rydberg atom arrays' dynamics and ready for experiments. This work sheds light on the future experimental exploration of SUSY with the help of Rydberg atom arrays.