We show that n thermal fermionic alkaline-earth atoms in a
\nat-bottom trap allow one to robustly
\nimplement a spin model displaying two symmetries: the Sn symmetry that permutes atoms occupying
\ndi erent vibrational levels of the trap and the SU(N) symmetry associated with N nuclear
\nspin states. The symmetries makes the model exactly solvable, which, in turn, enables the analytic
\nstudy of dynamical processes such as spin di usion in this SU(N) system. We also show how
\nto use this system to generate entangled states that allow for Heisenberg-limited metrology. This
\nhighly symmetric spin model should be experimentally realizable even when the vibrational levels
\nare occupied according to a high-temperature thermal or an arbitrary non-thermal distribution.<\/p>\n","protected":false},"excerpt":{"rendered":"
We show that n thermal fermionic alkaline-earth atoms in a at-bottom trap allow one to robustly implement a spin model displaying two symmetries: the Sn symmetry that permutes atoms occupying di erent vibrational levels of the trap and the SU(N) symmetry associated with N nuclear spin states. The symmetries makes the model exactly solvable, which, […]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":[{"type":"user_nicename","value":"mibeverl"}],"msr_publishername":"","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"Physical Review 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