Anyon Quantum Transport and Noise away from Equilibrium

TL;DR

This paper studies non-equilibrium quantum transport of anyons in one dimension, revealing how interactions and statistics influence heat and particle flow, Lorentz number, and noise characteristics.

Contribution

It introduces a non-equilibrium framework for abelian anyons in the Tomonaga-Luttinger model, analyzing transport, Lorentz number deviations, and noise dependence on statistics.

Findings

Lorentz number deviates from Wiedemann-Franz law due to interactions and anyon statistics.

Quantum fluctuations and noise power depend on the anyon statistical parameter.

Explicit characterization of non-equilibrium transport in an anyon Tomonaga-Luttinger model.

Abstract

We investigate the quantum transport of anyons in one space dimension. After establishing some universal features of non-equilibrium systems in contact with two heat reservoirs in a generalised Gibbs state, we focus on the abelian anyon solution of the Tomonaga-Luttinger model possessing axial-vector duality. In this context a non-equilibrium representation of the physical observables is constructed, which is the basic tool for a systematic study of the anyon particle and heat transport. We determine the associated Lorentz number and describe explicitly the deviation from the standard Wiedemann-Franz law induced by the interaction and the anyon statistics. The quantum fluctuations generated by the electric and helical currents are investigated and the dependence of the relative noise power on the statistical parameter is established.