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Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics.

R O Umucalılar1, E Macaluso2, T Comparin2

  • 1Deparment of Physics, Mimar Sinan Fine Arts University, 34380 Sisli, Istanbul, Turkey.

Physical Review Letters
|June 23, 2018
PubMed
Summary
This summary is machine-generated.

We propose a time-of-flight experiment to observe anyonic statistics in ultracold atom fractional quantum Hall states. This method uses localized potentials and cloud expansion measurements to detect the statistical phase of quasiholes.

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Area of Science:

  • Quantum physics
  • Ultracold atoms
  • Condensed matter physics

Background:

  • Fractional quantum Hall states exhibit exotic quasiparticles called anyons.
  • Understanding anyonic statistics is crucial for quantum information science.
  • Observing these statistics in ultracold atoms presents experimental challenges.

Purpose of the Study:

  • To propose a practical experimental method for observing anyonic statistics of quasiholes.
  • To provide direct signatures of the statistical phase in fractional quantum Hall states.
  • To validate the proposed method with numerical simulations.

Main Methods:

  • Utilizing a standard time-of-flight experiment.
  • Stably preparing quasihole states by pinning them with localized potentials.
  • Measuring the mean square radius of the expanding atomic cloud to infer angular momentum and statistical phase.

Main Results:

  • The proposed time-of-flight method provides direct signatures of the anyonic statistical phase.
  • Monte Carlo calculations validate the method for realistic particle numbers in ν=1/2 and 1/3 fractional quantum Hall liquids.
  • The mean square radius measurement is directly related to the average total angular momentum.

Conclusions:

  • A standard time-of-flight experiment is a viable method for observing anyonic statistics in ultracold atom fractional quantum Hall states.
  • The proposed technique offers a pathway to experimentally probe fundamental properties of anyons.
  • The study opens avenues for exploring quantum Hall liquids of light and non-Abelian anyons.