Charge and statistics of lattice quasiholes from density measurements: A tree tensor network study

The authors employ a Tree Tensor Network algorithm to identify the ground state of hard-core bosons in a Harper-Hofstdater model. For this fractional Chern insulator state, the paper shows that both the fractional charge and the anyonic nature of the quasihole excitations can be inspected through local density measurements. This makes the proposal readily applicable for state-of-the-art experiments with ultracold atoms or superconducting qubits.