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Helia Kamal1, Jack Kemp1, Yin-Chen He2

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This summary is machine-generated.

We propose a novel Floquet engineering approach to realize flux attachment, a key concept in topological physics. This method stabilizes exotic quantum Hall states in bosonic systems, offering a path to experimental realization.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Topological Physics

Background:

  • Flux attachment is a crucial theoretical concept for understanding topological order, particularly in the fractional quantum Hall effect.
  • Directly realizing flux attachment in microscopic physical systems remains a significant challenge in experimental condensed matter physics.

Purpose of the Study:

  • To propose a practical method for realizing flux attachment in a controllable physical system.
  • To investigate the stabilization of specific topological quantum states using this proposed method.

Main Methods:

  • Utilizing a periodically driven (Floquet) system of spins or hard-core bosons.
  • Employing coupled-wire analysis and large-scale density matrix renormalization group (DMRG) simulations.
  • Analyzing a nearest-neighbor free boson model on square and honeycomb lattices.

Main Results:

  • Demonstrated that the Floquet system naturally generates correlated hopping interactions, directly linking them to flux attachment.
  • Showcased stabilization of the bosonic integer quantum Hall state at 1/4 filling on a square lattice.
  • Identified stabilization of the Halperin-221 fractional quantum Hall state at 1/6 filling on a honeycomb lattice.
  • Observed spontaneous breaking of time-reversal symmetry and degeneracy of bosonic integer quantum Hall states at 1/2 filling on a square lattice.

Conclusions:

  • The proposed Floquet engineering approach provides a viable route to microscopic realization of flux attachment.
  • This method successfully stabilizes predicted fractional and integer quantum Hall states in bosonic systems.
  • An optical-lattice implementation is proposed, with considerations for adiabatic preparation and Floquet heating effects.