Floquet engineering flat bands for bosonic fractional quantum Hall with superconducting circuits

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.

Automated summary

The goal is to realize novel phases of matter with topological order using superconducting circuits and other artificial quantum systems. By creating nearly flat topological bands on small lattices, it is possible to observe fingerprints of fractionalization through charge pumping with as few as 24 lattice sites. The proposal suggests using a finite lattice of superconducting qubits with cylindrical connectivity on triangular and square lattices to implement the concept.