Topological vacuum bubble by anyon braiding
arXiv:1607.05021 · doi:10.1038/ncomms11131
Abstract
According to a basic rule of fermionic and bosonic many-body physics, known as the linked cluster theorem, physical observables are not affected by vacuum bubbles, which represent virtual particles created from vacuum and self-annihilating without interacting with real particles. Here, we show that this conventional knowledge must be revised for anyons, quasiparticles that obey fractional exchange statistics intermediate between fermions and bosons. We find that a certain class of vacuum bubbles of Abelian anyons does affect physical observables. They represent virtually excited anyons which wind around real anyonic excitations. These topological bubbles result in a temperature-dependent phase shift of Fabry-Perot interference patterns in the fractional quantum Hall regime accessible in current experiments, thus providing a tool for direct and unambiguous observation of elusive fractional statistics.
arXiv comment7 pages, 4 figures, and 9 pages of Supplementary Information
References in corpus (24)
- Non-Abelian Anyons and Topological Quantum Computation
- Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
- An Electronic Mach-Zehnder Interferometer
- Bosonization for Beginners --- Refermionization for Experts
- Anyons and the quantum Hall effect - a pedagogical review
- Towards identification of a non-abelian state: observation of a quarter of electron charge at quantum Hall state
- Measurement of filling factor 5/2 quasiparticle interference: observation of charge e/4 and e/2 period oscillations
- Theory of the Fabry-Perot Quantum Hall Interferometer
- The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime
- Partition noise and statistics in the fractional quantum Hall effect
- Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
- Primary-Filling e/3 Quasiparticle Interferometer
- Signatures of fractional statistics in noise experiments in quantum Hall fluids
- Fabry-Perot Interferometry with Fractional Charges
- Shot Noise in Anyonic Mach-Zehnder Interferometer
- Telegraph Noise and Fractional Statistics in the Quantum Hall Effect
- The Evolution of Quasiparticle Charge in the Fractional Quantum Hall Regime
- Hanbury-Brown and Twiss interference of anyons
- Revisiting the Hanbury Brown-Twiss set-up for fractional statistics
- Bunching of Fractionally-Charged Quasiparticles Tunneling through High Potential Barriers
- Klein Factors in multiple Fractional Quantum Hall edge tunneling
- Telegraph noise and the Fabry-Perot quantum Hall interferometer
- Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments
- Braiding of Abelian and Non-Abelian Anyons in the Fractional Quantum Hall Effect
Cited by in corpus (27)
- Fractional charge and fractional statistics in the quantum Hall effects
- Melting of interference in the fractional quantum Hall effect: Appearance of neutral modes
- Partitioning of Diluted Anyons Reveals their Braiding Statistics
- Fractionalization and anyonic statistics in the integer quantum Hall collider
- Non-Abelian Anyon Collider
- Observation of Interaction-Induced Modulations of a Quantum Hall Liquid's Area
- Negative Excess Shot Noise by Anyon Braiding
- Fractional Mutual Statistics on Integer Quantum Hall Edges
- Anyon statistics through conductance measurements of time-domain interferometry
- Finite width of anyons changes their braiding signature
- Finite Soliton Width Matters: Investigating Non-equilibrium Exchange Phases of Anyons
- Modeling free anyons at the bosonic and fermionic ends
- Interaction-induced charge transfer in a mesoscopic electron spectrometer
- Quasiparticle Andreev reflection in the Laughlin fractions of the fractional quantum Hall effect
- Observation of Electronic Modes in Open Cavity Resonator
- Landscapes of an out-of-equilibrium anyonic sea
- Anyon braiding on the single edge of a fractional quantum Hall state
- Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
- Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
- Signature of anyonic statistics in the integer quantum Hall regime
- Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
- Fractional-statistics-induced entanglement from Andreev-like tunneling
- Harnessing Vacuum Fluctuations to Shape Electronic and Photonic Behavior
- Manifestation of edge-bulk incompatibility in fractional quantum Hall platform
- Extracting the scaling dimension of quantum Hall quasiparticles from current correlations
- Quantum statistics and self-interference in extended colliders
- Tunable anyonic permeability across spin liquid junctions