SU(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math>) Fermi-Hubbard model on two sites: Bethe ansatz solution and quantum phase transition of the Lipkin-Meshkov-Glick model in the large-<mml:math xmlns:mml="http:/

The authors find that the SU($N$) Fermi-Hubbard model on two sites can be mapped to the Lipkin-Meshkov-Glick model. It admits a Bethe ansatz solution and exhibits a quantum phase transition in the large-$N$ limit that could be experimentally accessible using current technologies involving SU($N$) ultracold atoms or molecules.