“…Systems featuring long-range interactions are central in condensed matter and statistical physics, due to both their widespread presence in nature and the wide range of characteristic physical phenomena they display, the latter often being at odds with well-known predictions and results concerning short-range models (see, e.g, [1] for a review). Within the last decade, the interest in quantum long-range interacting models has further surged due to the progress in manipulating and controlling these systems at an unprecedented level [2][3][4][5][6]. Specifically, these experimental platforms naturally realize long-range quantum Ising or Heisenberg models, with the possibility to engineer many-body interaction potentials decaying proportionally to d −α as a function of distance d, ranging from van-der-Waals-like (α = 6) and dipolar interactions (α = 3) in the context of Rydberg atoms [3,6], to Coulomb (α = 1) and infinite-range (α = 0) potentials for trapped ions [2,5].…”