Landscapes of an out-of-equilibrium anyonic sea

TL;DR

This paper develops a framework to characterize out-of-equilibrium anyonic states in two-dimensional topological matter, revealing how braiding influences their effective potential, temperature, and energy distributions, with implications for higher-dimensional systems.

Contribution

It introduces a novel method to analyze out-of-equilibrium anyonic states, including their effective potential, temperature, and excitation landscape, based on braiding-induced effects.

Findings

Anyonic effective potential depends on tunneling quasiparticle type.

Non-equilibrium anyons exhibit power-law energy distributions.

Universal witness function measures hot anyon tunneling above chemical potential.

Abstract

The low-energy dynamics of two-dimensional topological matter hinges on its one-dimensional edge modes. Tunneling between fractional quantum Hall edge modes facilitates the study of anyonic statistics: it induces time-domain braiding that dominates signals from diluted anyon beams. We develop a framework for characterizing one-dimensional out-of-equilibrium anyonic states and define their effective potential and temperature, both arising from anyonic braiding, as well as the landscape of their excitations. Unlike fermions, the effective anyon potential depends on the type of the tunneling quasiparticles; non-equilibrium anyonic states are underlain by power-law energy distributions. This allows "hot" anyons to tunnel above the chemical potential of the source, which we capture by a measurable universal witness function. Our analysis raises the prospect of generalizing the kinetic approach to compressible anyonic matter in higher dimensions.