发表机构
Technische Universität Berlin; JILA, NIST, and Department of Physics, University of Colorado; Department of Physics, Harvard University; Institut für Theoretische Physik, Leibniz Universität Hannover; Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-Université PSL, Sorbonne Université（柏林工业大学; 科罗拉多大学JILA、NIST和物理系; 哈佛大学物理系; 汉诺威莱布尼茨大学理论物理研究所; 巴黎高等师范学院-索邦大学-法兰西学院-国家科学研究中心卡斯勒布罗塞尔实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究理论上证明任意子-哈伯德模型在任意非零统计相位下存在精确的两体连续谱束缚态及真正的三体和四体束缚态，这些束缚态由纯运动学机制形成，具有快速手性输运特性，并可通过膨胀动力学实验探测。
AI 中文摘要
低维系统中的量子统计预言了具有分数交换统计的任意子粒子，其统计既不同于玻色子也不同于费米子。虽然任意子通常作为拓扑有序物质态的激发出现在二维系统中，但类似任意子的交换统计也在一维中被讨论，例如在任意子-哈伯德模型（AHM）的背景下，其物理最近已在实验中被观测到[Kwan等人，arXiv:2306.01737；Dhar等人，arXiv:2412.21131；以及Bakkali-Hassani等人，arXiv:2602.20421]。AHM可以用具有密度依赖的Peierls相位的玻色子来表述，该相位由统计相位角$\ heta$描述，它控制着非对称输运和有限动量下动态束缚对的形成。在这里，我们从理论上证明，AHM对于任意$\ heta\ eq 0$也承载精确的两体连续谱中的束缚态（BICs），以及真正的三体和四体束缚态。与由吸引（或排斥）相互作用稳定的传统束缚态不同，后者在能量上局域化且具有较大的有效质量，这些团簇在这里由纯运动学机制束缚，赋予它们快速的手性输运特性。我们为三体束缚态提供了一个简单的变分近似，并解释了它们的束缚机制。此外，我们表明，AHM中三体束缚态的特征可以通过从三个局域粒子开始的膨胀动力学直接进行实验探测。
英文摘要
Quantum statistics in low-dimensional systems predicts anyonic particles with fractional exchange statistics which are neither that of bosons nor fermions. While anyons are typically found in two dimensions as excitations of topologically-ordered states of matter, anyon-like exchange statistics has also been discussed in one dimension, for instance, in the context of the anyon-Hubbard model (AHM), the physics of which has recently been observed in experiment [Kwan et al., arXiv:2306.01737; Dhar et al., arXiv:2412.21131; and Bakkali-Hassani et al., arXiv:2602.20421]. The AHM can be formulated in terms of bosons featuring density-dependent Peierls phases, described by a statistical phase angle $θ$, which controls asymmetric transport and the formation of dynamically bound pairs at finite momentum. Here, we show theoretically that the AHM also hosts exact two-body bound states in the continuum (BICs) for arbitrary $θ\neq 0$, and genuine three- and four-body bound states. Unlike conventional bound states stabilized by attractive (or repulsive) interactions, which are energetically localized with a large effective mass, these clusters here are bound by a purely kinematic mechanism endowing them with fast chiral transport properties. We provide a simple variational approximation to the three-body bound states and explain their binding mechanism. Moreover, we show that the signatures of three-body bound states in the AHM can be directly probed experimentally from the expansion dynamics starting from three localized particles.
Comments12 + 33 pages, 9 + 10 figures. Comments are welcome
