Optical control over bulk excitations in fractional quantum Hall systems
arXiv:1808.02964 · doi:10.1103/PhysRevB.98.155124
Abstract
Local excitations in fractional quantum Hall systems are amongst the most intriguing objects in condensed matter, as they behave like particles of fractional charge and fractional statistics. In order to experimentally reveal these exotic properties and further to use such excitations for quantum computations, microscopic control over the excitations is necessary. Here we discuss different optical strategies to achieve such control. First, we propose that the application of a light field with non-zero orbital angular momentum can pump orbital angular momenta to electrons in a quantum Hall droplet. In analogy to Laughlin's argument, we show that this field can generate a quasihole or a quasielectron in such systems. Second, we consider an optical potential that can trap a quasihole, by repelling electrons from the region of the light beam. We simulate a moving optical field, which is able to control the position of the quasihole. This allows for imprinting the characteristic Berry phase which reflects the fractional charge of the quasihole.
arXiv comment17 pages, 11 figures
References in corpus (41)
- Non-Abelian Anyons and Topological Quantum Computation
- Vortices in a Bose-Einstein Condensate
- Stimulated Raman adiabatic passage in physics, chemistry and beyond
- Approaching the Dirac point in high mobility multi-layer epitaxial graphene
- Quantized Rotation of Atoms From Photons with Orbital Angular Momentum
- Infrared spectroscopy of Landau levels in graphene
- 1/2-Anyons in small atomic Bose-Einstein condensates
- The microscopic nature of localization in the quantum Hall effect
- Coherent Quantum Optical Control with Subwavelength Resolution
- The Quantum Hall Transition in Real Space: From Localized to Extended States
- STS Observations of Landau Levels at Graphite Surfaces
- Fractional Quantum Hall Effect in Graphene
- Magnetic field-tuned Aharonov-Bohm oscillations and evidence for non-Abelian anyons at v=5/2
- Observation of Aharonov-Bohm Superperiod in a Laughlin Quasiparticle Interferometer
- Composite Fermions and Broken Symmetries in Graphene
- Fabry-Perot Interferometry with Fractional Charges
- Dark state optical lattice with sub-wavelength spatial structure
- Nano-Scale `Dark State' Optical Potentials for Cold Atoms
- Screening Charged Impurities and Lifting the Orbital Degeneracy in Graphene by Populating Landau Levels
- Theory of Photoluminescence of the Quantum Hall State: Excitons, Spin-Waves and Spin-Textures
- Landau level spectroscopy of electron-electron interactions in graphene
- Polaron-Polaritons in the Integer and Fractional Quantum Hall Regimes
- Subwavelength-width optical tunnel junctions for ultracold atoms
- Quantum Hall quasielectron operators in conformal field theory
- Topological growing of Laughlin states in synthetic gauge fields
- Signatures of Fractional Exclusion Statistics in the Spectroscopy of Quantum Hall Droplets
- Floquet engineering of optical solenoids and quantized charge pumping along tailored paths in two-dimensional Chern insulators
- Imaging anyons with scanning tunneling microscopy
- Fractional quantum Hall states of few bosonic atoms in geometric gauge fields
- Quantized Rabi Oscillations and Circular Dichroism in Quantum Hall Systems
- Raman Spectroscopy of magneto-phonon resonances in Graphene and Graphite
- Energy spectra of fractional quantum Hall systems in the presence of a valence hole
- Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity
- Light-induced fractional quantum Hall phases in graphene
- All-optical tuning of a quantum dot in a coupled cavity system
- Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models
- Optical emission spectroscopy study of competing phases of electrons in the second Landau level
- Adiabatic flux insertion and growing of Laughlin states of cavity Rydberg polaritons
- High-Order Multipole Radiation from Quantum Hall States in Dirac Materials
- Quasihole dynamics as a detection tool for quantum Hall phases
- Towards quantum optics and entanglement with electron spin ensembles in semiconductors
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- Fractional angular momentum and anyon statistics of impurities in Laughlin liquids
- Spin-selective strong light-matter coupling in a 2D hole gas-microcavity system
- Coherent optical nano-tweezers for ultra-cold atoms
- Two-dimensional excitons from twisted light and the fate of the photon's orbital angular momentum
- Optical flux pump in the quantum Hall regime
- Engineering Quantum Hall Phases in Synthetic Bilayer Graphene System
- Non-Abelian chiral spin liquid on spin-1 kagome lattice: truncation of an exact Hamiltonian and numerical optimization
- Anyon-trions in atomically thin semiconductor heterostructures
- Fractional quantum Hall edge polaritons