Floquet engineering flat bands for bosonic fractional quantum Hall in small lattices

TL;DR

This paper proposes a method to realize bosonic fractional quantum Hall states in small lattices by engineering flat topological bands with superconducting qubits, enabling observation of fractionalization effects with minimal system size.

Contribution

It introduces a novel Floquet engineering approach to create flat topological bands in small quantum lattices for bosonic fractional quantum Hall physics.

Findings

Fractional charge pumping with nearly perfect quantization demonstrated in small lattices.

Implementation feasible with superconducting qubits on triangular and square lattices.

Potential for observing fractional quantum Hall effects in minimal quantum systems.

Abstract

The quest to realize novel phases of matter with topological order is an important pursuit with implications for strongly correlated physics and quantum information. Utilizing ideas from state-of-the-art coherent control of artificial quantum systems such as superconducting circuits, we present a proposal to realize bosonic fractional quantum Hall physics on small lattices by creating nearly flat topological bands using staggered flux patterns. Fingerprints of fractionalization through charge pumping can be observed with nearly perfect quantization using as few as 24 lattice sites (two photons). We suggest an implementation using a finite lattice of superconducting qubits with cylindrical connectivity on both triangular and square lattices.