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Non-Abelian anyon collider.

June-Young M Lee1, H-S Sim2

  • 1Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon, 34141, Korea.

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|November 5, 2022
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Summary
This summary is machine-generated.

A novel collider experiment can distinguish between different types of anyons, including non-Abelian anyons, by observing particle braiding statistics. This method goes beyond simple bunching or antibunching observed with bosons and fermions.

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Area of Science:

  • Quantum Physics
  • Condensed Matter Physics
  • Particle Physics

Background:

  • Particle colliders are used to identify quantum statistics, with bosons exhibiting bunching and fermions exhibiting antibunching.
  • Experiments in the fractional quantum Hall regime with Abelian anyons showed negative cross-correlation, inconsistent with simple fermionic antibunching.

Purpose of the Study:

  • To predict and demonstrate how a collider can be used to observe braiding statistics of various Abelian and non-Abelian anyons.
  • To differentiate between various anyon types based on their unique braiding properties.

Main Methods:

  • Utilizing a collider setup with particles injected from opposite sides onto a beam splitter.
  • Applying conformal field theory and a non-perturbative treatment for non-equilibrium anyon injection.
  • Analyzing the negative cross-correlation of electrical currents resulting from particle interactions.

Main Results:

  • The dominant process in the collider is anyon braiding with excited anyons, not direct collision.
  • The dependence of negative cross-correlation on injection currents can distinguish between non-Abelian SU(2)k anyons, Ising anyons, and Abelian Laughlin anyons.

Conclusions:

  • The collider is a powerful tool for probing the braiding statistics of anyons, extending beyond simple quantum statistics.
  • This method offers a new experimental pathway to identify and classify different types of anyons, including exotic non-Abelian ones.