We investigate the dynamical emergence of spatial correlations in a driven triple-well Bose-Hubbard system with asymmetric well energies and time-dependent tunneling. The system has a time-periodic Hamiltonian, and its dynamics synchronize with the driving frequency. The observed oscillations in the structure factor are a direct manifestation of this Floquet driving. Focusing on the time evolution of the structure factor, we show that correlation-based observables reveal dynamical regimes. We demonstrate that increasing the inter-well asymmetry and atomic interactions results in regular oscillations in well occupations, accompanied by a qualitative change in the structure factor, indicating a transition from a dynamically disordered to an ordered regime. Therefore, our results establish the time-dependent structure factor as a sensitive probe of dynamical ordering in few-site-driven Bose-Hubbard systems, providing insight into the correlation buildup beyond effective Hamiltonian descriptions. The findings will shed light on future experimental and theoretical research on Floquet engineering, instability regimes, and dynamic phase transitions.
Oztas et al. (Fri,) studied this question.