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Cheolhee Han1, Jinhong Park1, Yuval Gefen2

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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Theory
  • Topological Quantum Matter

Background:

  • The linked cluster theorem in fermionic and bosonic physics posits that vacuum bubbles do not affect physical observables.
  • Anyons are quasiparticles with fractional exchange statistics, distinct from fermions and bosons.

Purpose of the Study:

  • To investigate the impact of vacuum bubbles on physical observables in systems with anyons.
  • To determine if anyonic vacuum bubbles can be experimentally observed.

Main Methods:

  • Theoretical analysis of vacuum bubbles in Abelian anyon systems.
  • Investigation of topological properties of anyonic vacuum bubbles.
  • Modeling of Fabry-Perot interference patterns in the fractional quantum Hall regime.

Main Results:

  • A specific class of Abelian anyon vacuum bubbles affects physical observables.
  • These topological bubbles involve virtually excited anyons winding around real excitations.
  • A temperature-dependent phase shift in Fabry-Perot interference patterns was identified.

Conclusions:

  • Conventional understanding of vacuum bubbles in many-body physics needs revision for anyons.
  • Topological anyonic vacuum bubbles provide a direct observational tool for fractional statistics.
  • Experimental verification is feasible in fractional quantum Hall systems.