SU(N) symmetry with ultracold alkali dimers: Weak dependence of scattering properties on hyperfine state

Mukherjee, Bijit; Hutson, Jeremy M.

Abstract

We investigate the prospect of using ultracold alkali diatomic molecules to implement many-body quantum systems with SU(N) symmetry. Experimentally accessible molecules offer large N for both bosonic and fermionic systems, with both attractive and repulsive interactions. We carry out coupled-channel scattering calculations on pairs of NaK, NaRb, and NaCs molecules that are shielded from destructive collisions with static electric fields. We develop new methods to handle the very large basis sets required to include nuclear spins. We show that all the molecules studied have the properties required for SU(N) symmetry: the collisions are principally elastic, and the scattering lengths depend only weakly on the spin states of the molecules. The rates of spin-changing inelastic collisions are very low. We develop and test a semiclassical model of the spin dependence and find that it performs well.

Citation

Mukherjee, B., & Hutson, J. M. (2025). SU(N) symmetry with ultracold alkali dimers: Weak dependence of scattering properties on hyperfine state. Physical Review Research, 7(1), Article 013099. https://doi.org/10.1103/PhysRevResearch.7.013099

• Journal Article Type: Article
• Acceptance Date: Dec 17, 2024
• Online Publication Date: Jan 27, 2025
• Publication Date: 2025-03
• Deposit Date: Mar 5, 2025
• Publicly Available Date: Mar 5, 2025
• Journal: Physical Review Research
• Electronic ISSN: 2643-1564
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 7
• Issue: 1
• Article Number: 013099
• DOI: https://doi.org/10.1103/PhysRevResearch.7.013099
• Public URL: https://durham-repository.worktribe.com/output/3680398