Extend Floquet-engineering capabilities to interacting multilevel systems

Develop Hamiltonian-engineering methods that extend Floquet-engineering capabilities to interacting multilevel quantum systems while retaining their expanded control space and multilevel many-body phenomena.

Background

The paper studies Floquet engineering for interacting qudits, whose local Hilbert spaces contain more than two levels. Such systems offer access to multipolar interactions, synthetic dimensions, and many-body models with non-Abelian symmetries, but their enlarged operator algebras make control design increasingly complex.

The authors present a strong-drive framework incorporating finite-duration pulse waveforms directly into the leading effective Hamiltonian. However, they identify the broader extension of Floquet-engineering capabilities to interacting multilevel systems as an unresolved challenge motivating the development of this framework.