We propose a method to realize the Frenkel-Kontorova model using an array of Rydberg dressed atoms. Our platform can be used to study this model with a range of realistic interatomic potentials. In particular, we concentrate on two types of interaction potentials: a springlike potential and a repulsive long-range potential. We numerically calculate the phase diagram for such systems and characterize the Aubry-like and commensurate-incommensurate phase transitions. Experimental realizations of this system are also discussed.

中文翻译：

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用Rydberg修饰的原子实现Frenkel-Kontorova模型

我们提出了一种使用莱德堡穿戴的原子阵列来实现Frenkel-Kontorova模型的方法。我们的平台可用于研究具有一系列实际原子间电势的模型。特别地，我们专注于两种类型的相互作用电位：类似弹簧的电位和斥力的远程电位。我们通过数值计算此类系统的相图，并表征类似Aubry和相称不相称的相变。还讨论了该系统的实验实现。