@article{12655,
author = {Michael Perlin and Diego Barberena and Mikhail Mamaev and Bhuvanesh Sundar and Robert Lewis-Swan and Ana Maria Rey},
title = {Engineering infinite-range SU ( n ) interactions with spin-orbit-coupled fermions in an optical lattice},
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.},
year = {2022},
journal = {Phys. Rev. A},
volume = {105},
pages = {023326},
month = {2022-02},
doi = {10.1103/PhysRevA.105.023326},
}