Mitigating higher-band heating in Floquet-Hubbard lattices via two-tone driving

TL;DR

This paper demonstrates that adding a second weak drive in Floquet-Hubbard lattices can cancel multi-photon heating resonances, reducing heating effects even under strong shaking, with the optimal amplitude depending on interaction strength.

Contribution

It extends the two-tone approach to strongly interacting Hubbard systems, showing experimental cancellation of heating resonances and revealing dependence on interaction strength.

Findings

Cancellation of multi-photon resonances with two-tone driving

Optimal cancelling amplitude depends on Hubbard interaction U

Experimental validation aligns with exact diagonalisation calculations

Abstract

Multi-photon resonances to high-lying energy levels represent an unavoidable source of Floquet heating in strongly driven quantum systems. In this work, we extend the recently developed two-tone approach of 'cancelling' multi-photon resonances to shaken lattices in the Hubbard regime. Our experiments show that even for strong lattice shaking the inclusion of a weak second drive leads to cancellation of multi-photon heating resonances. Surprisingly, the optimal cancelling amplitude depends on the Hubbard interaction strength $U$, in qualitative agreement with exact diagonalisation calculations. Our results call for novel analytical approaches to capture the physics of strongly-driven-strongly-interacting many-body systems.