Real-space probe for lattice quasiholes

TL;DR

This paper introduces a real-space density measurement technique to identify quasihole states in lattice bosonic systems under synthetic magnetic fields, showing it aligns with continuum predictions even in small systems.

Contribution

It proposes a novel density-based probe for quasiholes in lattice systems, bridging lattice and continuum descriptions with practical experimental relevance.

Findings

Ratios of mean square radii approach continuum Laughlin values

Method effective in small lattices with few particles

Applicable to cold atom and photonic systems

Abstract

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.