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Modified Interferometer to Measure Anyonic Braiding Statistics.

Steven A Kivelson1, Chaitanya Murthy1,2

  • 1Stanford University, Department of Physics, Stanford, California 94305, USA.

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|October 5, 2025
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Summary
This summary is machine-generated.

Researchers developed a new interferometer to measure the fundamental braiding phase (θ) of anyons, unlike existing methods measuring twice this phase (2θ). This advancement offers a more precise way to study these exotic quantum particles.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • Quantum Hall effect systems host exotic quasiparticles called anyons.
  • Current interferometers measure twice the anyonic braiding phase (e^{i2θ}).

Purpose of the Study:

  • To propose a novel interferometer capable of measuring the fundamental anyonic braiding phase (e^{iθ}).

Main Methods:

  • Modification of existing Fabry-Pérot or Mach-Zehnder interferometer designs.
  • Theoretical proposal for direct measurement of the single braiding phase.

Main Results:

  • The proposed interferometer can directly measure the fundamental braiding phase (e^{iθ}) of Abelian anyons.
  • This overcomes the limitation of existing methods that measure twice the phase.

Conclusions:

  • This work provides a new experimental pathway to probe anyonic statistics.
  • Enables more detailed studies of quantum entanglement and topological properties in condensed matter systems.