AI 中文总结
研究具有可调几何结构的量子网络中，图的几何结构对输运和纠缠增长的影响。通过在随机图模型上研究量子跳跃动力学，调节有效范围参数确定新局域化区域，为安德森局域化提供模型，对相关领域有意义。
AI 中文摘要
具有两体相互作用的量子多体哈密顿量可用图表示，节点为格点，边为两格点耦合。我们研究这些图的几何结构如何影响输运和纠缠增长。通过在具有有效范围参数的随机图模型上研究量子跳跃动力学，调节该参数在最近邻图和全连接图间插值，确定了在单粒子和有限密度情况下都稳健的新局域化区域。这为结构无序诱导的安德森局域化提供了模型，对非晶材料和可调范围模拟量子模拟器有意义。
英文摘要
Quantum many-body Hamiltonians with two-body interactions can be represented by graphs, with sites as nodes and two-site couplings as edges. We investigate how the geometry of these graphs affects transport and entanglement growth. To do so, we study dynamics for quantum hopping on a random graph model with an effective range parameter. Tuning it, we interpolate between nearest-neighbor and all-to-all graphs, identifying a new localization regime that is robust in both single-particle and finite-density cases. This provides a model of Anderson localization induced by structural disorder, with implications for amorphous materials and tunable-range analog quantum simulators.
