Bulletin of the American Physical Society
55th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Monday–Friday, June 3–7, 2024; Fort Worth, Texas
Session G05: Novel Phases of Cold Atoms, Ions, and Molecules
10:30 AM–12:30 PM,
Wednesday, June 5, 2024
Room: 202AB
Chair: Murray Holland, Uuniversity of Colorado Boulder
Abstract: G05.00010 : The Attractive SU(N) Fermi-Hubbard Model in Ultracold Molecules
12:18 PM–12:30 PM
Presenter:
Jonathan D Stepp
(Rice University)
Authors:
Jonathan D Stepp
(Rice University)
Eduardo Ibarra Garcia Padilla
(University of California Davis / San Jose State University)
Richard T Scalettar
(University of California, Davis)
Jeremy M. Hutson
(Durham University, UK)
Bijit Mukherjee
(Durham)
Kaden R Hazzard
(Rice)
The SU(N) Fermi-Hubbard model has seen a surge of interest due to its realization in alkaline-earth atoms in optical lattices. It has a rich, exotic phase diagram resulting from its high symmetry. However, the alkaline-earth atoms have limitations: in particular, they lack magnetic Feshbach resonances, so can realize only repulsive SU(N) Fermi-Hubbard models. Motivated by our (unpublished) work showing that shielded ultracold molecules enjoy an SU(N) symmetry with more flexible interactions, we study the attractive SU(N) Fermi-Hubbard model. By using the Determinant Quantum Monte Carlo (DQMC) method with an appropriate Hubbard-Stratonovich transformation, we can accurately calculate properties of this model. While our method works for arbitrary N, we have focused in particular on the square-lattice SU(3) model. We have studied the formation and ordering of three-particle bound states of SU(3) singlets with density, temperature, and interaction strength. We make predictions for experiments and suggest the most exciting directions forward.
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