Engineering infinite-range SU($n$) interactions with spin-orbit-coupled fermions in an optical lattice

• URL: http://arxiv.org/abs/2109.11019v1
• Date: Wed, 22 Sep 2021 20:13:20 GMT
• Title: Engineering infinite-range SU($n$) interactions with spin-orbit-coupled fermions in an optical lattice
• Authors: Michael A. Perlin, Diego Barberena, Mikhail Mamaev, Bhuvanesh Sundar, Robert J. Lewis-Swan, Ana Maria Rey
• Abstract summary: We study multilevel fermions in an optical lattice described by the Hubbard model with on site SU($n$)-symmetric interactions. Raman pulses that address internal spin states modify the atomic dispersion relation and induce spin-orbit coupling. Our predictions are readily testable in current experiments with ultracold alkaline-earth(-like) atoms.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study multilevel fermions in an optical lattice described by the Hubbard model with on site SU($n$)-symmetric interactions. We show that in an appropriate parameter regime this system can be mapped onto a spin model with all-to-all SU($n$)-symmetric couplings. Raman pulses that address internal spin states modify the atomic dispersion relation and induce spin-orbit coupling, which can act as a synthetic inhomogeneous magnetic field that competes with the SU($n$) exchange interactions. We investigate the mean-field dynamical phase diagram of the resulting model as a function of $n$ and different initial configurations that are accessible with Raman pulses. Consistent with previous studies for $n=2$, we find that for some initial states the spin model exhibits two distinct dynamical phases that obey simple scaling relations with $n$. Moreover, for $n>2$ we find that dynamical behavior can be highly sensitive to initial intra-spin coherences. Our predictions are readily testable in current experiments with ultracold alkaline-earth(-like) atoms.

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