In this review recent investigations are summarized of many-body quantum systems with long-range interactions, which are currently realized in Rydberg atom arrays, dipolar systems, trapped-ion setups, and cold atoms in cavities. In these experimental platforms parameters can be easily changed, and control of the range of the interaction has been achieved. The main aim of the review is to present and identify the common and mostly universal features induced by long-range interactions in the behavior of quantum many-body systems. Discussed are the case of strong nonlocal couplings, i.e., the nonadditive regime, and the one in which energy is extensive, but low-energy, long-wavelength properties are altered with respect to the short-range case. When possible, comparisons with the corresponding results for classical systems are presented. Finally, cases of competition with local effects are also reviewed.

中文翻译：

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长程相互作用量子系统

在这篇综述中，最近的研究总结了具有长程相互作用的多体量子系统，这些系统目前在里德堡原子阵列、偶极系统、俘获离子装置和空腔中的冷原子中实现。在这些实验平台中，参数可以很容易地改变，并且已经实现了相互作用范围的控制。综述的主要目的是呈现和识别量子多体系统行为中长程相互作用引起的常见且最普遍的特征。讨论的是强非局域耦合的情况，即非相加状态，以及能量广泛但低能量、长波长特性相对于短程情况发生改变的情况。如果可能的话，会与经典系统的相应结果进行比较。最后，还回顾了具有当地影响的竞争案例。