SU(N) magnetism with ultracold molecules

Mukherjee, Bijit; Hutson, Jeremy M; Hazzard, Kaden R A

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, …, 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.

Citation

Mukherjee, B., Hutson, J. M., & Hazzard, K. R. A. (2025). SU(N) magnetism with ultracold molecules. New Journal of Physics, 27(1), Article 013013. https://doi.org/10.1088/1367-2630/ad89f2

• Journal Article Type: Article
• Acceptance Date: Oct 22, 2024
• Online Publication Date: Jan 22, 2025
• Publication Date: Jan 1, 2025
• Deposit Date: Jan 27, 2025
• Publicly Available Date: Jan 27, 2025
• Journal: New Journal of Physics
• Electronic ISSN: 1367-2630
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 27
• Issue: 1
• Article Number: 013013
• DOI: https://doi.org/10.1088/1367-2630/ad89f2
• Keywords: ultracold molecules, many-body physics, SU(N) symmetry
• Public URL: https://durham-repository.worktribe.com/output/3351638