Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles

• URL: http://arxiv.org/abs/2005.09689v3
• Date: Fri, 18 Dec 2020 14:13:28 GMT
• Title: Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
• Abstract summary: We numerically analyze the center-of-mass Hall drift of a small ensemble of hardcore bosons. We identify an emergent Hall plateau compatible with a fractional Chern insulator state. Our calculations suggest that fractional Chern insulators can be detected in cold-atom experiments.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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