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In signal processing, Discrete-Time Fourier Transforms (DTFTs) play a critical role in analyzing discrete-time signals in the frequency domain. Various properties of the DTFTs such as linearity, time-shifting, frequency-shifting, time reversal, conjugation, and time scaling help understand and manipulate these signals for different applications.
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Time-domain braiding of anyons.

M Ruelle1, E Frigerio1, E Baudin1

  • 1Laboratoire de Physique de l'Ecole normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris Cité, Paris, France.

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Researchers studied anyon tunneling in fractional quantum Hall fluids using triggered pulses. They found that anyon braiding extends tunneling time, offering new ways to measure anyon properties.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • Anyons are exotic quasiparticles exhibiting unique exchange statistics.
  • In fractional quantum Hall (FQH) systems, anyons possess memory of their interactions via braiding phase factors.
  • This memory can lead to delayed tunneling events at quantum point contacts (QPCs).

Purpose of the Study:

  • To investigate anyon tunneling dynamics in the time domain.
  • To explore the influence of anyon braiding on tunneling timescales.
  • To introduce novel time-domain methods for characterizing anyon properties.

Main Methods:

  • Utilizing triggered anyon pulses incident on a QPC.
  • Experimenting with a fractional quantum Hall fluid at filling factor ν = 1/3.
  • Performing time-domain measurements of tunneling events.

Main Results:

  • Observed that anyon braiding significantly increases the tunneling timescale.
  • Demonstrated that tunneling timescale is dependent on temperature and anyon scaling dimension.
  • Established a correlation between braiding and extended tunneling duration.

Conclusions:

  • Time-domain measurements provide a new experimental approach for studying anyons.
  • Braiding phase and scaling dimension of anyons can be characterized using these temporal measurements.
  • This work advances the understanding of quantum memory effects in topological phases of matter.