High-order resonances and emergent coherent dynamics in interacting Stark chains

arXiv:2610.26328v1 Announce Type: cross Abstract: A linear potential gradient can strongly suppress quantum dynamics, while interactions can activate resonant many-body processes whose higher-order structure remains largely unexplored. Here we uncover a systematic hierarchy of high-order interaction--tilt resonances in an interacting Stark chain, where the resonance order counts the minimal number of elementary exchange steps involved. These resonances manifest as long-lived coherent oscillations with order-dependent timescales. By isolating individual resonant channels and developing a microscopic effective description, we connect these dynamical timescales to the underlying many-body exchange processes and reveal a pronounced dependence on the initial-state structure. Our results provide crucial insights into high-order many-body resonances and show how commensurate interaction-to-tilt ratios generate a hierarchy of parametrically slow coherent many-body dynamics.