SU(N) magnetism with ultracold molecules

TL;DR

This paper predicts that ultracold molecules can exhibit SU(N) symmetry with larger N values and features like bosonic systems and attractive interactions, expanding the scope of quantum many-body physics research.

Contribution

It introduces the novel idea that ultracold molecules, shielded from collisions, can realize SU(N) symmetry with larger N and new interaction types, surpassing atomic systems.

Findings

SU(N) symmetry can be achieved in ultracold molecules with minimal scattering length deviations.

Potential for N as large as 32 for bosons and 36 for fermions.

Molecules enable features like bosonic systems and attractive interactions not possible with atoms.

Abstract

Quantum systems with SU($N$) symmetry are paradigmatic settings for quantum many-body physics. They have been studied for the insights they provide into complex materials and their ability to stabilize exotic ground states. Ultracold alkaline-earth atoms were predicted to exhibit SU($N$) symmetry for $N=2I+1=1,2,\ldots,10$, where $I$ is the nuclear spin. Subsequent experiments have revealed rich many-body physics. However, alkaline-earth atoms realize this symmetry only for fermions with repulsive interactions. In this paper, we predict that ultracold molecules shielded from destructive collisions with static electric fields or microwaves exhibit SU($N$) symmetry, which holds because deviations of the s-wave scattering length from the spin-free values are only about 3\% for CaF with static-field shielding and are estimated to be even smaller for bialkali molecules. They open the door to $N$ as large as $32$ for bosons and $36$ for fermions. They offer important features unachievable with atoms, including bosonic systems and attractive interactions.