Elastic Multi-Body Interactions on a Lattice

TL;DR

This paper demonstrates how to independently control multi-body interactions in an optical lattice using hyperfine state coupling, enabling the creation of gases with dominant three- or four-body interactions for quantum simulation.

Contribution

It introduces a non-perturbative method to tune two-, three-, and four-body on-site interactions independently in an optical lattice.

Findings

Achieved control over multi-body interactions in $^{39}$K atoms.

Realized gases with purely three- or four-body interactions.

On-site interaction shifts of several 100Hz.

Abstract

We show that by coupling two hyperfine states of an atom in an optical lattice one can independently control two-, three-, and four-body on-site interactions in a non-perturbative manner. In particular, under typical conditions of current experiments one can have a purely three- or four-body interacting gas of $^{39}$K atoms characterized by on-site interaction shifts of several 100Hz.