Floquet Flux Attachment in Cold Atomic Systems

• URL: http://arxiv.org/abs/2401.08754v1
• Date: Tue, 16 Jan 2024 19:00:01 GMT
• Title: Floquet Flux Attachment in Cold Atomic Systems
• Authors: Helia Kamal, Jack Kemp, Yin-Chen He, Yohei Fuji, Monika Aidelsburger, Peter Zoller, Norman Y. Yao
• Abstract summary: We show that Floquet flux attachment stabilizes bosonic integer quantum Hall state at $1/4$ filling. We also propose an optical-lattice-based implementation of our model on a square lattice.
• Score: 0.41232474244672235
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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