Observation of antiferromagnetic correlations in an ultracold SU(N) Hubbard model
Abstract
Mott insulators are paradigmatic examples of strongly correlated physics from which many phases of quantum matter with hardtoexplain properties emerge. Extending the typical SU(2) spin symmetry of Mott insulators to SU(N) is predicted to produce exotic quantum magnetism at low temperatures. In this work, we experimentally observe nearestneighbour spin correlations in a SU(6) Hubbard model realized by ytterbium atoms in optical lattices. We study onedimensional, twodimensional square and threedimensional cubic lattice geometries. The measured SU(6) spin correlations are enhanced compared with the SU(2) correlations, owing to strong Pomeranchuk cooling. The experimental data for a onedimensional lattice agree qualitatively with our theoretical calculations, with an error of at most 30%, without any fitting parameters. Detailed comparison between theory and experiment allows us to infer the temperature to be the lowest achieved for a coldatom FermiHubbard model. For threedimensional lattices, the experiments reach entropies below the regime where our calculations converge, highlighting the importance of these experiments as quantum simulations.
 Publication:

Nature Physics
 Pub Date:
 November 2022
 DOI:
 10.1038/s41567022017256
 arXiv:
 arXiv:2010.07730
 Bibcode:
 2022NatPh..18.1356T
 Keywords:

 Condensed Matter  Quantum Gases
 EPrint:
 13 pages, 8 figures