Non-Abelian Anyon Collider

Abstract

A collider, where particles are injected to a beam splitter from opposite sides, has been used for identifying quantum statistics of identical particles. The collision leads to bunching of the particles for bosons and antibunching for fermions. In recent experiments, a collider was applied to a fractional quantum Hall regime hosting Abelian anyons. The observed negative cross correlation of electrical currents cannot be understood with fermionic antibunching. Here we predict, based on a conformal field theory and non-perturbative treatment of non-equilibrium anyon injection, that the collider provides a tool for direct observation of the braiding statistics of various Abelian and non-Abelian anyons. Its dominant process is not direct collision between injected anyons, contrary to common expectation, but braiding between injected anyons and an anyon excited at the collider. The dependence of the resulting negative cross correlation on the injection currents distinguishes non-Abelian SU(2)${}_k$ anyons, Ising anyons, and Abelian Laughlin anyons.

Main text: 7 pages, 3 figures, Supplementary text: 8 pages, 3 figures

References in corpus (14)

• Non-Abelian Anyons and Topological Quantum Computation
• Fractional statistics in anyon collisions
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Interferometry of non-Abelian Anyons
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
• Bulk-edge coupling in the non-abelian $\nu =5/2$ quantum Hall interferometer
• Fractionalization and anyonic statistics in the integer quantum Hall collider
• Topological vacuum bubble by anyon braiding
• Quantum Hall States at $\nu =\frac{2}{k+2}$
• Environmental induced renormalization effects in quantum Hall edge states
• Negative Excess Shot Noise by Anyon Braiding
• Fractional Mutual Statistics on Integer Quantum Hall Edges

Cited by in corpus (21)

• Partitioning of Diluted Anyons Reveals their Braiding Statistics
• Quasiparticle Andreev scattering in the $\nu =1/3$ fractional quantum Hall regime
• Observation of the scaling dimension of fractional quantum Hall anyons
• Anyon statistics through conductance measurements of time-domain interferometry
• Finite width of anyons changes their braiding signature
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Identifying the topological order of quantized half-filled Landau levels through their daughter states
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• The Monte Carlo simulation of the topological quantities in FQH systems
• Landscapes of an out-of-equilibrium anyonic sea
• Braiding fractional quantum Hall quasiholes on a superconducting quantum processor
• Anyon braiding on the single edge of a fractional quantum Hall state
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Entanglement Generation and Stabilization by Coherent Collisions
• Non-Abelian anyon statistics through AC conductance of a Majorana interferometer
• Signature of anyonic statistics in the integer quantum Hall regime
• Fractional-statistics-induced entanglement from Andreev-like tunneling
• Manifestation of edge-bulk incompatibility in fractional quantum Hall platform
• Quantum statistics and self-interference in extended colliders