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Few-body systems capture many-body physics: tensor network approach

机译:少数系统捕获多体物理:张量网络方法

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摘要

Due to the presence of strong correlations, theoretical or experimentalinvestigations of quantum many-body systems belong to the most challengingtasks in modern physics. Stimulated by tensor networks, we propose a scheme ofconstructing the few-body models that can be easily accessed by theoretical orexperimental means, to accurately capture the ground-state properties ofinfinite many-body systems in higher dimensions. The general idea is to embed asmall bulk of the infinite model in an "entanglement bath" so that themany-body effects can be faithfully mimicked. The approach we propose isefficient, simple, flexible, sign-problem-free, and it directly accesses thethermodynamic limit. The numerical results of the spin models on honeycomb andsimple cubic lattices show that the ground-state properties including quantumphase transitions and the critical behaviors are accurately captured by only$\mathcal{O}(10)$ physical and bath sites. Moreover, since the few-bodyHamiltonian only contains local interactions among a handful of sites, our workprovides new ways of studying the many-body phenomena in the infinitestrongly-correlated systems by mimicking them in the few-body experiments usingcold atoms/ions, or developing novel quantum devices by utilizing the many-bodyfeatures.
机译:由于存在很强的相关性,量子多体系统的理论或实验研究属于现代物理学中最具挑战性的任务。在张量网络的刺激下,我们提出了一种构造少数体模型的方案,该模型可以通过理论或实验手段轻松地访问,以精确地捕获高维中无限多个体系统的基态特性。总体思路是将一小部分无限模型嵌入“纠缠浴”中,以便可以忠实地模仿多体效果。我们提出的方法高效,简单,灵活,无符号问题,并且直接访问热力学极限。蜂窝和简单立方晶格上的自旋模型的数值结果表明,只有量子点{ma} {O}(10)$的物理和浴场才能准确地捕获包括量子相变和临界行为在内的基态特性。此外,由于少数人体的哈密顿量仅包含少数位置之间的局部相互作用,因此我们的工作为在无限强相关系统中研究多体现象提供了新的方法,方法是在使用冷原子/离子的少数人体实验中模拟它们,或利用多体特征的新型量子器件。

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