Cold Atoms and Molecules in Self-Assembled Dipolar Lattices

TL;DR

This paper explores how cold atoms and molecules can be used as particles in self-assembled dipolar lattices, leading to tunable long-range interactions modeled by extended Hubbard models with phonon mediation.

Contribution

It demonstrates the realization of lattice models with self-assembled dipolar structures and tunable interactions in cold atom and molecule systems.

Findings

Extended Hubbard models effectively describe the system dynamics.

Long-range phonon-mediated interactions are tunable.

Self-assembled dipolar lattices are feasible in experiments.

Abstract

We study the realization of lattice models, where cold atoms and molecules move as extra particles in a dipolar crystal of trapped polar molecules. The crystal is a self-assembled floating mesoscopic lattice structure with quantum dynamics given by phonons. We show that within an experimentally accessible parameter regime extended Hubbard models with tunable long-range phonon-mediated interactions describe the effective dynamics of dressed particles.