Three-body interactions in Rydberg lattices

TL;DR

This paper proposes a practical method to engineer three-body interactions in Rydberg atom arrays, enabling the simulation of more complex quantum models beyond traditional two-body systems.

Contribution

It introduces an experimentally feasible scheme for creating three-body couplings in Rydberg lattices, expanding the scope of quantum simulations.

Findings

Demonstrates the modification of many-body physics with three-body interactions

Systematically investigates the effective Hamiltonian and emergent phases

Enables simulation of complex condensed matter and high-energy physics models

Abstract

Programmable arrays of neutral Rydberg atoms are one of the leading platforms today for scalable quantum simulation and computation. In these systems, the dipole-dipole interactions between the individual atoms, or qubits, typically result in binary -- i.e., two-body -- couplings. In this work, we develop an experimentally accessible scheme for engineering three-body interactions in Rydberg lattices. Such strong three-body couplings can fundamentally modify the underlying physics compared to systems with only two-body interactions: we demonstrate this, in particular, by systematically investigating the effective many-body Hamiltonian and its emergent quantum phases. This capability paves the way for the quantum simulation of a broader class of correlated models of condensed matter and high-energy physics.