Relativistic Anyon Beam: Construction and Properties
arXiv:1902.01058 · doi:10.1103/PhysRevLett.123.164801
Abstract
Motivated by recent interest in photon and electron vortex beams, we propose the construction of a relativistic anyon beam. Following Jackiw and Nair [Phys. Rev. D 43, 1933 (1991)] we derive explicit form of relativistic plane wave solution of a single anyon. Subsequently we construct the planar anyon beam by superposing these solutions. Explicit expressions for the conserved anyon current are derived. Finally, we provide expressions for the anyon beam current using the superposed waves and discuss its properties. We also comment on the possibility of laboratory construction of anyon beam.
arXiv commentThoroughly revised and extended version, new references added. Accepted for publication in Physical Review Letters
References in corpus (28)
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Many-Body Physics with Ultracold Gases
- Fault-tolerant quantum computation by anyons
- Topological Photonics
- Quantum fluids of light
- Quantum Spin Liquids
- Observation of the Fractional Quantum Hall Effect in Graphene
- Topological Bands for Ultracold Atoms
- Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene
- An exact chiral spin liquid with non-Abelian anyons
- Theory and applications of free-electron vortex states
- Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices
- Observation of fractional Chern insulators in a van der Waals heterostructure
- Quantum simulations and many-body physics with light
- Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
- Relativistic Electron Vortex Beams: Angular Momentum and Spin-Orbit Interaction
- Bloch oscillations of Path-Entangled Photons
- A Josephson frequency for fractionally charged anyons
- Relativistic quantum dynamics of twisted electron beams in arbitrary electric and magnetic fields
- Elements of Geometric Quantization and Applications to Fields and Fluids
- Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles
- Neutral and Charged Anyon Fluids
- Creating anyons from photons using a nonlinear resonator lattice subject to dynamic modulation
- Probing few-particle Laughlin states of photons via correlation measurements
- Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms
- Approximate ground state of a confined Coulomb anyon gas in an external magnetic field
- Approximate formula for the ground state energy of anyons in 2D parabolic well
- Relativistic Anyon Beam: Construction and Properties