Time-domain braiding of anyons

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.