SU(N) magnetism with ultracold molecules
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 fo...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ad89f2 |
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| author | Bijit Mukherjee Jeremy M Hutson Kaden R A Hazzard |
| author_facet | Bijit Mukherjee Jeremy M Hutson Kaden R A Hazzard |
| author_sort | Bijit Mukherjee |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-45abcee387de4fad92bcfb728ac12c4f |
| institution | Kabale University |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-45abcee387de4fad92bcfb728ac12c4f2025-01-22T10:44:19ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127101301310.1088/1367-2630/ad89f2SU(N) magnetism with ultracold moleculesBijit Mukherjee0https://orcid.org/0000-0001-9242-8378Jeremy M Hutson1https://orcid.org/0000-0002-4344-6622Kaden R A Hazzard2https://orcid.org/0000-0003-2894-7274Joint Quantum Centre (JQC) Durham-Newcastle, Department of Chemistry, Durham University , South Road, Durham DH1 3LE, United KingdomJoint Quantum Centre (JQC) Durham-Newcastle, Department of Chemistry, Durham University , South Road, Durham DH1 3LE, United KingdomDepartment of Physics and Astronomy, Rice University , Houston, TX 77005, United States of America; Smalley-Curl Institute, Rice University , Houston, TX 77005, United States of AmericaQuantum 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.https://doi.org/10.1088/1367-2630/ad89f2ultracold moleculesSU(N) symmetrymany-body physics |
| spellingShingle | Bijit Mukherjee Jeremy M Hutson Kaden R A Hazzard SU(N) magnetism with ultracold molecules New Journal of Physics ultracold molecules SU(N) symmetry many-body physics |
| title | SU(N) magnetism with ultracold molecules |
| title_full | SU(N) magnetism with ultracold molecules |
| title_fullStr | SU(N) magnetism with ultracold molecules |
| title_full_unstemmed | SU(N) magnetism with ultracold molecules |
| title_short | SU(N) magnetism with ultracold molecules |
| title_sort | su n magnetism with ultracold molecules |
| topic | ultracold molecules SU(N) symmetry many-body physics |
| url | https://doi.org/10.1088/1367-2630/ad89f2 |
| work_keys_str_mv | AT bijitmukherjee sunmagnetismwithultracoldmolecules AT jeremymhutson sunmagnetismwithultracoldmolecules AT kadenrahazzard sunmagnetismwithultracoldmolecules |