Resonant dynamics of strongly interacting SU($n$) fermionic atoms in a
synthetic flux ladder
- URL: http://arxiv.org/abs/2204.06421v2
- Date: Wed, 31 Aug 2022 16:50:05 GMT
- Title: Resonant dynamics of strongly interacting SU($n$) fermionic atoms in a
synthetic flux ladder
- Authors: Mikhail Mamaev, Thomas Bilitewski, Bhuvanesh Sundar, Ana Maria Rey
- Abstract summary: We study the dynamics of $n$-level spin-orbit coupled alkaline-earth fermionic atoms with symmetric interactions.
At integer and fractional ratios of the laser Rabi frequency to the onsite interactions, the system exhibits resonant features in the dynamics.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We theoretically study the dynamics of $n$-level spin-orbit coupled
alkaline-earth fermionic atoms with SU($n$) symmetric interactions. We consider
three dimensional lattices with tunneling along one dimension, and the internal
levels treated as a synthetic dimension, realizing an $n$-leg flux ladder.
Laser driving is used to couple the internal levels and to induce an effective
magnetic flux through the ladder. We focus on the dense and strongly
interacting regime, where in the absence of flux the system behaves as a Mott
insulator with suppressed motional dynamics. At integer and fractional ratios
of the laser Rabi frequency to the onsite interactions, the system exhibits
resonant features in the dynamics. These resonances occur when interactions
help overcome kinetic constraints upon the tunneling of atoms, thus enabling
motion. Different resonances allow for the development of complex chiral
current patterns. The resonances resemble the ones appearing in the
longitudinal Hall resistance when the magnetic field is varied. We characterize
the dynamics by studying the system's long-time relaxation behavior as a
function of flux, number of internal levels $n$, and interaction strength. We
observe a series of non-trivial pre-thermal plateaus caused by the emergence of
resonant processes at successive orders in perturbation theory. We discuss
protocols to observe the predicted phenomena under current experimental
conditions.
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