Anyonic statistics of quantum impurities in two dimensions

Abstract

We demonstrate that identical impurities immersed in a two-dimensional many-particle bath can be viewed as flux-tube-charged-particle composites described by fractional statistics. In particular, we find that the bath manifests itself as an external magnetic flux tube with respect to the impurities, and hence the time-reversal symmetry is broken for the effective Hamiltonian describing the impurities. The emerging flux tube acts as a statistical gauge field after a certain critical coupling. This critical coupling corresponds to the intersection point between the quasiparticle state and the phonon wing, where the angular momentum is transferred from the impurity to the bath. This amounts to a novel configuration with emerging anyons. The proposed setup paves the way to realizing anyons using electrons interacting with superfluid helium or lattice phonons, as well as using atomic impurities in ultracold gases.

6 pages, 2 figure

References in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
• Continuous-time Monte Carlo methods for quantum impurity models
• An exact chiral spin liquid with non-Abelian anyons
• Notes on the BMS group in three dimensions: I. Induced representations
• Rotation of quantum impurities in the presence of a many-body environment
• Creation and Manipulation of Anyons in the Kitaev Model
• Anyonic Braiding in Optical Lattices
• Emergence of non-abelian magnetic monopoles in a quantum impurity problem
• Signatures of Fractional Exclusion Statistics in the Spectroscopy of Quantum Hall Droplets
• Fractional angular momentum in cold atom systems

Cited by in corpus (13)

• Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics
• Impurities in a one-dimensional Bose gas: the flow equation approach
• Vortex patterns in the almost-bosonic anyon gas
• A Quantum Impurity Model for Anyons
• Anyonic molecules in atomic fractional quantum Hall liquids: a quantitative probe of fractional charge and anyonic statistics
• Synthetic Flux Attachment
• Fractional angular momentum and anyon statistics of impurities in Laughlin liquids
• Molecular Impurities as a Realization of Anyons on the Two-Sphere
• Semiclassical limit for almost fermionic anyons
• Properties of 2D anyon gas
• Linear rotor in an ideal Bose gas near the threshold for binding
• Quantum rotor in a two-dimensional mesoscopic Bose gas
• Quantum kinetic theory of flux-carrying Brownian particles