Real-space probe for lattice quasiholes

We propose a real-space probe that is based on density measurements to extract distinct signatures of quasihole-like states of bosons experiencing a synthetic magnetic field in a two-dimensional lattice. We numerically show that certain ratios of the mean square radii of the particle cloud, obtainable through the density profile, approach the continuum values expected from Laughlin's ansatz wave functions quickly as the magnetic flux quanta per unit cell of the lattice decrease, even in a small lattice with few particles. This method could equally be used in both ultra-cold atomic and photonic systems.