Jove
Visualize
Contact Us

Related Experiment Videos

Probing non-Abelian statistics with quasiparticle interferometry.

Parsa Bonderson1, Kirill Shtengel, J K Slingerland

  • 1California Institute of Technology, Pasadena, California 91125, USA.

Physical Review Letters
|August 16, 2006
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Topological fingerprints in Liouvillian gaps.

Physical review. E·2024
Same author

An investigation of pre-crystalline order, ruling out Pauli crystals and introducing Pauli anti-crystals.

Scientific reports·2020
Same author

Braiding and Fusion of Non-Abelian Vortex Anyons.

Physical review letters·2019
Same author

The heat is on for Majorana fermions.

Nature·2018
Same author

Reversible first-order transition in Pauli percolation.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

Spin transfer of quantum information between Majorana modes and a resonator.

Physical review letters·2014
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

This study analyzes interferometric experiments using non-Abelian braiding statistics and the modular S-matrix. It provides explicit predictions for fractional quantum Hall states, including the nu = 12/5 plateau.

Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Topological Phases of Matter

Background:

  • Non-Abelian braiding statistics are crucial for topological quantum computation.
  • Fractional quantum Hall states exhibit exotic topological properties.
  • Interferometry is a key experimental technique to probe these states.

Purpose of the Study:

  • To express outcomes of interferometric experiments in systems with non-Abelian braiding statistics using the modular S-matrix.
  • To apply these findings to fractional quantum Hall interferometry.
  • To provide explicit predictions for the Read-Rezayi states at the nu = 12/5 plateau.

Main Methods:

  • Theoretical analysis of interferometric experiments.
  • Application of the modular S-matrix formalism.

Related Experiment Videos

  • Detailed treatment of Read-Rezayi states.

    • Main Results:

    • A framework for analyzing non-Abelian braiding statistics in interferometry using the S-matrix.
    • Explicit predictions for the nu = 12/5 fractional quantum Hall plateau.
    • Connection between theoretical predictions and experimental observations.

    Conclusions:

    • The modular S-matrix provides a powerful tool for understanding non-Abelian braiding statistics in quantum Hall systems.
    • The study offers testable predictions for future experiments.
    • Advances the understanding of topological phases and their experimental signatures.