论文标题
盒子里几个玻色子的分数雪烧绝缘子：质量中心漂移和密度曲线的大厅高原
Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
论文作者
论文摘要
实现非常相关的超速气体拓扑阶段是进行持续实验的核心目标。尽管很快就可以在小型原子合奏中实施分数量子大厅国家，但在几个粒子设置中检测其签名仍然是一个基本挑战。在这项工作中，我们通过数值分析了一个小型顽固玻色子合奏的质量中心大厅漂移，最初是在Harper-Hofstadter-Hobbard模型的基础状态下制备的，该模型具有盒子的潜力。通过监测释放时的大厅漂移，对于广泛的磁通量值，我们确定了与分数Chern绝缘子状态兼容的新兴霍尔高原：提取的霍尔电导率接近由多体Chern数量确定的分数值，而高原的宽度与准备好的基地状态的光谱和拓扑结构的特性一致。此外，直接应用Streda的公式表明，此类霍尔高原也可以直接从静态密度高调测量中获得。我们的计算表明，可以使用可用检测方法在冷原子实验中检测分数Chern绝缘子。
Realizing strongly-correlated topological phases of ultracold gases is a central goal for ongoing experiments. And while fractional quantum Hall states could soon be implemented in small atomic ensembles, detecting their signatures in few-particle settings remains a fundamental challenge. In this work, we numerically analyze the center-of-mass Hall drift of a small ensemble of hardcore bosons, initially prepared in the ground state of the Harper-Hofstadter-Hubbard model in a box potential. By monitoring the Hall drift upon release, for a wide range of magnetic flux values, we identify an emergent Hall plateau compatible with a fractional Chern insulator state: the extracted Hall conductivity approaches a fractional value determined by the many-body Chern number, while the width of the plateau agrees with the spectral and topological properties of the prepared ground state. Besides, a direct application of Streda's formula indicates that such Hall plateaus can also be directly obtained from static density-profile measurements. Our calculations suggest that fractional Chern insulators can be detected in cold-atom experiments, using available detection methods.
