Engineering discrete local dynamics in globally driven dual-species atom arrays

TL;DR

This paper presents a method to engineer discrete local dynamics in dual-species atom arrays using Floquet protocols, enabling the study of quantum cellular automata and chaotic many-body dynamics with global controls.

Contribution

The work introduces a novel approach for implementing discrete quantum models in dual-species atom arrays through Floquet engineering and generalized blockade regimes.

Findings

Demonstrated the feasibility of discretizing quantum models like the kicked-Ising and Kitaev honeycomb models.

Showed how to detect chaos in many-body dynamics using only global control capabilities.

Provided benchmarks for discriminating chaotic versus regular quantum evolution.

Abstract

We introduce a method for engineering discrete local dynamics in globally-driven dual-species neutral atom experiments, allowing us to study emergent digital models through uniform analog controls. Leveraging the new opportunities offered by dual-species systems, such as species-alternated driving, our construction exploits simple Floquet protocols on static atom arrangements, and benefits of generalized blockade regimes (different inter- and intra-species interactions). We focus on discrete dynamical models that are special examples of Quantum Cellular Automata (QCA), and explicitly consider a number of relevant examples, including the kicked-Ising model, the Floquet Kitaev honeycomb model, and the digitization of generic translation-invariant nearest-neighbor Hamiltonians (e.g., for Trotterized evolution). As an application, we study chaotic features of discretized many-body dynamics that can be detected by leveraging only demonstrated capabilities of globally-driven experiments, and benchmark their ability to discriminate chaotic evolution.