Quantum Simulations of Extended Hubbard Models with Dipolar Crystals

TL;DR

This paper proposes a method to realize extended Hubbard models using dipolar crystals formed by polar molecules, enabling tunable long-range interactions and phonon dynamics for quantum simulation.

Contribution

It introduces a novel approach to simulate extended Hubbard models with controllable phonon-mediated interactions in atomic and molecular mixtures.

Findings

Extended Hubbard models realized with dipolar crystals.

Interactions tunable via external fields.

System dynamics described by a master equation.

Abstract

In this paper we study the realization of lattice models in mixtures of atomic and dipolar molecular quantum gases. We consider a situation where polar molecules form a self-assembled dipolar lattice, in which atoms or molecules of a second species can move and scatter. We describe the system dynamics in a master equation approach in the Brownian motion limit of slow particles and fast phonons, which we find appropriate for our system. In a wide regime of parameters, the reduced dynamics of the particles leads to physical realizations of extended Hubbard models with tuneable long-range interactions mediated by crystal phonons. This extends the notion of quantum simulation of strongly correlated systems with cold atoms and molecules to include phonon-dynamics, where all coupling parameters can be controlled by external fields.