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  • Letter
  • Open Access

Spectroscopy of edge and bulk collective modes in fractional Chern insulators

F. Binanti1, N. Goldman2,3, and C. Repellin4

  • 1University Grenoble-Alpes, CNRS, LPMMC, 38000 Grenoble, France
  • 2CENOLI, Université Libre de Bruxelles, CP 231, Campus Plaine, B-1050 Brussels, Belgium
  • 3Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-Université PSL, Sorbonne Université, 11 Place Marcelin Berthelot, 75005 Paris, France
  • 4Univeristy Grenoble-Alpes, CNRS, LPMMC, 38000 Grenoble, France

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Phys. Rev. Research 6, L012054 – Published 8 March, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L012054

Abstract

The exploration of atomic fractional quantum Hall (FQH) states is now within reach in optical-lattice experiments. While ground-state signatures have been observed in a system realizing the Hofstadter-Bose-Hubbard model in a box [Léonard et al., Nature (London) 619, 495 (2023)], how to access hallmark low-energy collective modes remains a central open question in this context. We introduce a spectroscopic scheme based on two interfering Laguerre-Gaussian beams, which transfer a controlled angular momentum and energy to the system. The edge and bulk responses to the probe are detected through local density measurements by tracking the transfer of atoms between the bulk and the edge of the FQH droplet. This detection scheme is shown to simultaneously reveal two specific signatures of FQH states: their chiral edge branch and their bulk magnetoroton mode. We numerically benchmark our method by considering few bosons in the ν=1/2 Laughlin ground state of the Hofstadter-Bose-Hubbard model, and demonstrate that these signatures are already detectable in realistic systems of two bosons, provided that the box potential is sufficiently large compared to the droplet. Our paper paves the way for the detection of fractional statistics in cold atoms through edge signatures.

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Phys. Rev. Research 6, L012054– Published 8 March, 2024
  • Received 28 June 2023
  • Accepted 30 January 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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