Floquet engineering of optical solenoids and quantized charge pumping along tailored paths in two-dimensional Chern insulators

Abstract

The insertion of a local magnetic flux, as the one created by a thin solenoid, plays an important role in gedanken experiments of quantum Hall physics. By combining Floquet engineering of artificial magnetic fields with the ability of single-site addressing in quantum-gas microscopes, we propose a scheme for the realization of such local solenoid-type magnetic fields in optical lattices. We show that it can be employed to manipulate and probe elementary excitations of a topological Chern insulator. This includes quantized adiabatic charge pumping along tailored paths inside the bulk, as well as the controlled population of edge modes.

arXiv comment6 pages, 4 figures. Discussions and references are updated

References in corpus (47)

• Topological Insulators
• Topological insulators and superconductors
• Experimental realisation of the topological Haldane model
• Artificial gauge potentials for neutral atoms
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Synthetic magnetic fields for ultracold neutral atoms
• Atomic quantum gases in periodically driven optical lattices
• Light-induced gauge fields for ultracold atoms
• Measuring entanglement entropy through the interference of quantum many-body twins
• Quantum thermalization through entanglement in an isolated many-body system
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Exploring the many-body localization transition in two dimensions
• Spin-orbit coupling in quantum gases
• Light-cone-like spreading of correlations in a quantum many-body system
• Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Single-atom imaging of fermions in a quantum-gas microscope
• Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
• A Quantum Gas Microscope for Fermionic Atoms
• Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
• Engineering Ising-XY spin models in a triangular lattice via tunable artificial gauge fields
• Site-resolved Imaging of Fermionic Lithium-6 in an Optical Lattice
• Site-resolved measurement of the spin-correlation function in the Hubbard model
• Spin-orbit coupled fermions in an optical lattice clock
• Microscopy of the interacting Harper-Hofstadter model in the few-body limit
• Microscopic Observation of Pauli Blocking in Degenerate Fermionic Lattice Gases
• Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
• Site-resolved imaging of a fermionic Mott insulator
• Observation of Bose-Einstein Condensation in a Strong Synthetic Magnetic Field
• Imaging and addressing of individual fermionic atoms in an optical lattice
• Direct observation of chiral currents and magnetic reflection in atomic flux lattices
• Observation of canted antiferromagnetism with ultracold fermions in an optical lattice
• An ytterbium quantum gas microscope with narrow-line laser cooling
• Quantum gas microscopy of an attractive Fermi-Hubbard system
• Observation of 2D fermionic Mott insulators of ${}^{40}$K with single-site resolution
• Single atom detection in ultracold quantum gases: a review of current progress
• Quantum-gas microscopes - A new tool for cold-atom quantum simulators
• Creating, probing, and manipulating fractionally charged excitations of fractional Chern insulators in optical lattices
• Population dynamics in Floquet realisation of Harper-Hofstadter Hamiltonian
• Characterization of quasiholes in fractional Chern insulators

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• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
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• Creating, probing, and manipulating fractionally charged excitations of fractional Chern insulators in optical lattices
• Floquet Mechanism for Non-Abelian Fractional Quantum Hall States
• Creating anomalous Floquet Chern insulators with magnetic quantum walks
• How to Directly Measure Floquet Topological Invariants in Optical Lattices
• Charge and statistics of lattice quasiholes from density measurements: a Tree Tensor Network study
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope
• Charge density wave and charge pump of interacting fermions in circularly shaken hexagonal optical lattices
• Characterizing fractional topological phases of lattice bosons near the first Mott lobe
• Optical control over bulk excitations in fractional quantum Hall systems
• Wave packet dynamics and edge transport in anomalous Floquet topological phases
• Robust and Ultrafast State Preparation by Ramping Artificial Gauge Potentials
• $\pi$-fluxes, semi-metals and flat bands in artificial materials
• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system
• Berry-electrodynamics - Anomalous drift and pumping from time-dependent Berry connection
• Effective Hamiltonian with tunable mixed pairing in driven optical lattices
• Bulk Pumping in 2D Topological Phases
• Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice
• Individually tunable tunnelling coefficients in optical lattices using local periodic driving
• Selective branching, quenching, and converting of topological modes
• Understanding Floquet Resonances in Ultracold Gas Scattering
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Effective dynamics and quantum state engineering by periodic kicks
• Engineering Ponderomotive Potential for Realizing $\pi$ and $\pi /2$ Bosonic Josephson Junctions
• Emulation of magneto-optic Faraday effect using ultracold atoms
• Entanglement in finite quantum systems under twisted boundary conditions