AI 中文总结
研究具有软核里德堡修饰相互作用的一维玻色子，用精确路径积分量子蒙特卡罗模拟，发现相互作用势特性产生罗顿模等，竞争导致丰富相图，含TLL等区域，各相性质被详细讨论。
AI 中文摘要
里德堡和里德堡修饰的原子气体最近成为用于凝聚态物理中各种模型的有前途的量子模拟器。本文我们使用精确路径积分量子蒙特卡罗模拟研究具有软核里德堡修饰相互作用的一维玻色子。相互作用势的有限范围和负傅里叶分量在有限动量处产生一个罗顿模，而粒子 - 空穴背散射过程增强了一维系统在两倍费米动量处的磁化率。相应长度尺度之间的竞争产生了丰富的相图，包括传统的托马纳加 - 卢廷格液体（TLL）区域、超越TLL区域和相称簇相。在TLL区域，系统从具有卢廷格参数\(K>1\)的类似利布 - 林格行为转变为\(K<1\)的类似硬棒行为，对于\(K < 1/2\)出现准超固相。对于强相互作用和高密度，与TLL理论的偏差表现为簇相开始的前兆，此时粒子聚集形成几个粒子组成的稳定簇。详细讨论了每个相的性质。
英文摘要
Rydberg and Rydberg-dressed atomic gases have recently emerged as a promising quantum simulator for a variety of models in condensed matter physics. Here we investigate one-dimensional bosons with soft-core Rydberg-dressed interactions using exact path-integral quantum Monte Carlo simulations. The finite-range and the negative Fourier component of the interaction potential generate a roton mode at finite momentum, while particle-hole backscattering processes enhance the susceptibility of one-dimensional systems at twice the Fermi momentum. The competition between the corresponding length scales yields a rich phase diagram, featuring a conventional Tomonaga-Luttinger liquid (TLL) regime, a beyond-TLL regime, and commensurate cluster phases. In the TLL regime, the system transitions from Lieb-Liniger-like bnehavior with Luttinger parameter $K>1$ to hard-rod-like behavior with $K<1$, with a quasi-supersolid phase emerging for $K < 1/2$. For strong interactions and high densities, deviations from TLL theory appear as precursors for the onset of cluster phases, where particles aggregate into stable clusters of several particles. The properties of each phase is discussed in detail.
