“…[15,16] and experimentally verified by Weidemüller group in 87 Rb atoms [17], occurs when the interaction induced energetic shift can be well compensated by the laser detuning to the Rydberg level, triggering many interesting applications then. For instance it enables the implementation of an accurate one-step quantum logic gate [18] or a maximal entanglement [19,20], facilitating excitation dynamics even in thermal atoms beyond the frozen limit [21][22][23] or in anisotropic interacting systems due to partial resonance [24]. Besides, some nontrivial facilitation approaches, such as relying on inhomogeneous broadening on blue-detuned atoms with attractive interactions [25], avoided crossings between collective manybody states [26,27], or seeded avalanche dynamics in offresonant Rydberg atoms [28], have been proposed, providing more prospects for observing strongly correlated excitation growth in ultracold Rydberg gases [29][30][31].…”