Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope

Abstract

The recent progress in engineering topological band structures in optical-lattice systems makes it promising to study fractional Chern insulator states in these systems. Here we consider a realistic finite system of a few repulsively interacting bosons on a square lattice with magnetic flux and sharp edges, as it can be realized in quantum-gas microscopes. We investigate under which conditions a fractional Chern insulator state corresponding to the Laughlin-like state at filling $\nu =1/2$ can be stabilized and its fractional excitations probed. Using numerical simulations, we find an incompressible bulk density at the expected filling for systems, whose linear extent is as small as 6-8 sites. This is a promising result, since such small systems are favorable with respect to the required adiabatic state preparation. Moreover, we also see very clear signatures of excitations with fractional charge in response both to static pinning potentials and dynamical flux insertion. Since the compressible edges, which are found to feature chiral currents, can serve as a reservoir, these observations are robust against changes in the total particle number. Our results suggest that signatures of both a fractional Chern insulator state and its fractional excitations can be found under realistic experimental conditions.

23 pages, 8 figures; minor revision; resubmit to SciPost Physics

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• Characterizing fractional topological phases of lattice bosons near the first Mott lobe
• Snapshot-based detection of $\frac{1}{2}$-Laughlin states: coupled chains and central charge
• Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction
• Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• Fractional quantum anomalous Hall phase for Raman superarray of Rydberg atoms
• Detecting Hidden Order in Fractional Chern Insulators
• Optimal control for preparing fractional quantum Hall states in optical lattices
• Bulk density signatures of a lattice quasihole with very few particles
• Dynamics of quasiholes and quasiparticles at the edges of small lattices
• Universal Performance Gap of Neural Quantum States Applied to the Hofstadter-Bose-Hubbard Model
• Chiral Edge Excitations of $\nu =1/2$ Fractional Chern Insulators in the Bosonic Hofstadter Model