Floquet dynamics in driven Fermi-Hubbard systems

TL;DR

This paper investigates the dynamics of a periodically driven Fermi-Hubbard model in a 3D hexagonal lattice, demonstrating the validity of the effective Hamiltonian over long times and minimal atom loss at high modulation durations.

Contribution

It provides new insights into Floquet engineering in complex lattice geometries, showing extended modulation times with minimal atom loss and validating the effective Hamiltonian approach.

Findings

Effective Hamiltonian remains valid over several orders of magnitude in modulation time.

Driving in a hexagonal lattice allows modulation up to 1 second with minimal atom loss.

Near-resonant driving at the interaction energy does not cause resonant atom loss.

Abstract

We study the dynamics and timescales of a periodically driven Fermi-Hubbard model in a three-dimensional hexagonal lattice. The evolution of the Floquet many-body state is analyzed by comparing it to an equivalent implementation in undriven systems. The dynamics of double occupancies for the near- and off-resonant driving regime indicate that the effective Hamiltonian picture is valid for several orders of magnitude in modulation time. Furthermore, we show that driving a hexagonal lattice compared to a simple cubic lattice allows to modulate the system up to 1~s, corresponding to hundreds of tunneling times, with only minor atom loss. Here, driving at a frequency close to the interaction energy does not introduce resonant features to the atom loss.