Quantum simulation of extended electron-phonon coupling models in a hybrid Rydberg atom setup

TL;DR

This paper proposes a hybrid Rydberg atom setup to simulate extended electron-phonon coupling models, enabling control over coupling parameters and band structures for studying complex condensed matter phenomena.

Contribution

It introduces a novel method to simulate extended Hubbard-Holstein models using Rydberg atoms with tunable interactions and phonon properties.

Findings

Potential to control coupling strength and range

Ability to tune band structures of phonons and atoms

Facilitates study of static and dynamic properties

Abstract

State-of-the-art experiments using Rydberg atoms can now operate with large numbers of trapped particles with tunable geometry and long coherence time. We propose a way to utilize this in a hybrid setup involving neutral ground state atoms to efficiently simulate condensed matter models featuring electron-phonon coupling. Such implementation should allow for controlling the coupling strength and range as well as the band structure of both the phonons and atoms, paving the way towards studying both static and dynamic properties of extended Hubbard-Holstein models.