{"title":"Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles","abstract":[{"text":"Realizing strongly correlated topological phases of ultracold gases is a central goal for ongoing experiments. 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.","lang":"eng"}],"quality_controlled":"1","oa":1,"ddc":["530"],"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"intvolume":"       102","language":[{"iso":"eng"}],"type":"journal_article","article_number":"063316","external_id":{"arxiv":["2005.09689"]},"doi":"10.1103/physreva.102.063316","article_type":"original","scopus_import":"1","status":"public","oa_version":"Published Version","extern":"1","publication_status":"published","citation":{"ista":"Repellin C, Leonard J, Goldman N. 2020. Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles. Physical Review A. 102(6), 063316.","short":"C. Repellin, J. Leonard, N. Goldman, Physical Review A 102 (2020).","chicago":"Repellin, C., Julian Leonard, and N. Goldman. “Fractional Chern Insulators of Few Bosons in a Box: Hall Plateaus from Center-of-Mass Drifts and Density Profiles.” <i>Physical Review A</i>. American Physical Society, 2020. <a href=\"https://doi.org/10.1103/physreva.102.063316\">https://doi.org/10.1103/physreva.102.063316</a>.","ama":"Repellin C, Leonard J, Goldman N. Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles. <i>Physical Review A</i>. 2020;102(6). doi:<a href=\"https://doi.org/10.1103/physreva.102.063316\">10.1103/physreva.102.063316</a>","apa":"Repellin, C., Leonard, J., &#38; Goldman, N. (2020). Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles. <i>Physical Review A</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physreva.102.063316\">https://doi.org/10.1103/physreva.102.063316</a>","mla":"Repellin, C., et al. “Fractional Chern Insulators of Few Bosons in a Box: Hall Plateaus from Center-of-Mass Drifts and Density Profiles.” <i>Physical Review A</i>, vol. 102, no. 6, 063316, American Physical Society, 2020, doi:<a href=\"https://doi.org/10.1103/physreva.102.063316\">10.1103/physreva.102.063316</a>.","ieee":"C. Repellin, J. Leonard, and N. Goldman, “Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles,” <i>Physical Review A</i>, vol. 102, no. 6. American Physical Society, 2020."},"has_accepted_license":"1","volume":102,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"18194","date_created":"2024-10-07T11:48:07Z","publisher":"American Physical Society","publication":"Physical Review A","issue":"6","month":"12","day":"14","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1103/PhysRevA.102.063316"}],"publication_identifier":{"eissn":["2469-9934"],"issn":["2469-9926"]},"date_updated":"2024-10-08T09:51:57Z","author":[{"last_name":"Repellin","first_name":"C.","full_name":"Repellin, C."},{"last_name":"Leonard","full_name":"Leonard, Julian","first_name":"Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577"},{"full_name":"Goldman, N.","first_name":"N.","last_name":"Goldman"}],"year":"2020","date_published":"2020-12-14T00:00:00Z","article_processing_charge":"Yes (in subscription journal)"}