Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics

TL;DR

This paper explores how Abelian anyons in one-dimensional systems exhibit unique asymmetric transport and information spreading behaviors due to their statistics, contrasting with fermions and bosons, with implications for experimental observation.

Contribution

It reveals the impact of anyonic statistics on non-equilibrium dynamics, including asymmetric particle transport and light-cone spreading, and proposes experimental detection methods.

Findings

Asymmetric particle transport due to anyonic statistics.

Asymmetric light-cone dynamics of quantum information.

Potential observation in cold atom experiments.

Abstract

We study the non-equilibrium dynamics of Abelian anyons in a one-dimensional system. We find that the interplay of anyonic statistics and interactions gives rise to spatially asymmetric particle transport together with a novel dynamical symmetry that depends on the anyonic statistical angle and the sign of interactions. Moreover, we show that anyonic statistics induces asymmetric spreading of quantum information, characterized by asymmetric light cones of out-of-time-ordered correlators. Such asymmetric dynamics is in sharp contrast with the dynamics of conventional fermions or bosons, where both the transport and information dynamics are spatially symmetric. We further discuss experiments with cold atoms where the predicted phenomena can be observed using state-of-the-art technologies. Our results pave the way toward experimentally probing anyonic statistics through non-equilibrium dynamics.