Floquet Flux Attachment in Cold Atomic Systems
Flux attachment provides a powerful conceptual framework for understanding certain forms of topological order, including most notably the fractional quantum Hall effect. Despite its ubiquitous use as a theoretical tool, directly realizing flux attachment in a microscopic setting remains an open challenge. Here, we propose a simple approach to realizing flux attachment in a periodically driven (Floquet) system of either spins or hard-core bosons. We demonstrate that such a system naturally realizes correlated hopping interactions and provides a sharp connection between such interactions and flux attachment. Starting with a simple, nearest-neighbor, free boson model, we find evidence-from both a coupled-wire analysis and large-scale density matrix renormalization group simulations-that Floquet flux attachment stabilizes the bosonic integer quantum Hall state at 1/4 filling (on a square lattice), and the Halperin-221 fractional quantum Hall state at 1/6 filling (on a honeycomb lattice). At 1/2 filling on the square lattice, time-reversal symmetry is instead spontaneously broken and bosonic integer quantum Hall states with opposite Hall conductances are degenerate. Finally, we propose an optical-lattice-based implementation of our model on a square lattice and discuss prospects for adiabatic preparation as well as effects of Floquet heating.
Authors
- Norman Y. Yao (ORCID: https://orcid.org/0000-0003-0194-7266)
- P. Zoller (ORCID: https://orcid.org/0000-0003-4014-1505)
- Yohei Fuji (ORCID: https://orcid.org/0000-0002-3381-6642)
- Monika Aidelsburger (ORCID: https://orcid.org/0000-0002-9476-3337)
- Yin-Chen He (ORCID: https://orcid.org/0000-0002-5097-7800)
- Helia Kamal (ORCID: https://orcid.org/0000-0001-7066-2235)
- Jack Kemp (ORCID: https://orcid.org/0000-0002-4610-4791)
Institutions
- Austrian Academy of Sciences (AT)
- Perimeter Institute (CA)
- Universität Innsbruck (AT)
- Harvard University Press (US)
- Max Planck Institute of Quantum Optics (DE)
- Munich Center for Quantum Science and Technology (DE)
- The University of Tokyo (JP)
- Ludwig-Maximilians-Universität München (DE)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2024-10-17
- DOI
- https://doi.org/10.1103/physrevlett.133.163403
- Citations
- 1
- Primary Topic
- Cold Atom Physics and Bose-Einstein Condensates
- Type
- article
- Field-Weighted Citation Impact
- 0.34
Funders
- National Science Foundation
- David and Lucile Packard Foundation
- Deutsche Forschungsgemeinschaft
- Departament d'Innovació, Universitats i Empresa, Generalitat de Catalunya
- Narodowe Centrum Nauki
- Institut Périmètre de physique théorique
- Ministry of Colleges and Universities
- Horizon 2020 Framework Programme
- Multidisciplinary University Research Initiative
- HORIZON EUROPE Framework Programme
- Japan Society for the Promotion of Science
- Japan Science and Technology Agency
- Core Research for Evolutional Science and Technology
- Air Force Office of Scientific Research
- H2020 European Research Council