Real-space probe for lattice quasiholes

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.

4+3 pages, almost published version

References in corpus (17)

• Many-Body Physics with Ultracold Gases
• Non-Abelian Anyons and Topological Quantum Computation
• Topological Photonics
• Topological Photonics
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Quantum fluids of light
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Anyons and the quantum Hall effect - a pedagogical review
• Fractional Quantum Hall Effect in Optical Lattices
• Fractional Quantum Hall State in Coupled Cavities
• Creating, probing, and manipulating fractionally charged excitations of fractional Chern insulators in optical lattices
• Hall effects in Bose-Einstein condensates in a rotating optical lattice
• Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics
• Anyon braiding in semi-analytical fractional quantum Hall lattice models
• Characterization of quasiholes in fractional Chern insulators
• Lattice effects on Laughlin wave functions and parent Hamiltonians
• Optical Lattice with Torus Topology

Cited by in corpus (9)

• Recent Developments in Fractional Chern Insulators
• Charge and statistics of lattice quasiholes from density measurements: a Tree Tensor Network study
• Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope
• Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• Structure of the nearly-degenerate manifold of lattice quasiholes on a torus
• Measurable fractional spin for quantum Hall quasiparticles on the disk
• Laughlin's quasielectron as a non-local composite fermion
• Bulk density signatures of a lattice quasihole with very few particles