SU(N) symmetry with ultracold alkali dimers: Weak dependence of scattering properties on hyperfine state
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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-01-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013099 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832584176190095360 |
|---|---|
| author | Bijit Mukherjee Jeremy M. Hutson |
| author_facet | Bijit Mukherjee Jeremy M. Hutson |
| author_sort | Bijit Mukherjee |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5dec4f93938541dd91a5c9e230171841 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-5dec4f93938541dd91a5c9e2301718412025-01-27T15:08:45ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-017101309910.1103/PhysRevResearch.7.013099SU(N) symmetry with ultracold alkali dimers: Weak dependence of scattering properties on hyperfine stateBijit MukherjeeJeremy M. HutsonWe 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.http://doi.org/10.1103/PhysRevResearch.7.013099 |
| spellingShingle | Bijit Mukherjee Jeremy M. Hutson SU(N) symmetry with ultracold alkali dimers: Weak dependence of scattering properties on hyperfine state Physical Review Research |
| title | SU(N) symmetry with ultracold alkali dimers: Weak dependence of scattering properties on hyperfine state |
| title_full | SU(N) symmetry with ultracold alkali dimers: Weak dependence of scattering properties on hyperfine state |
| title_fullStr | SU(N) symmetry with ultracold alkali dimers: Weak dependence of scattering properties on hyperfine state |
| title_full_unstemmed | SU(N) symmetry with ultracold alkali dimers: Weak dependence of scattering properties on hyperfine state |
| title_short | SU(N) symmetry with ultracold alkali dimers: Weak dependence of scattering properties on hyperfine state |
| title_sort | su n symmetry with ultracold alkali dimers weak dependence of scattering properties on hyperfine state |
| url | http://doi.org/10.1103/PhysRevResearch.7.013099 |
| work_keys_str_mv | AT bijitmukherjee sunsymmetrywithultracoldalkalidimersweakdependenceofscatteringpropertiesonhyperfinestate AT jeremymhutson sunsymmetrywithultracoldalkalidimersweakdependenceofscatteringpropertiesonhyperfinestate |