# Exact dynamics following an interaction quench in a one-dimensional anyonic gas

## TL;DR

This paper analytically investigates the nonequilibrium dynamics of a one-dimensional anyonic gas after a quench from non-interacting to hard-core interactions, revealing a transition to a symmetric momentum distribution independent of the anyonic parameter.

## Contribution

It provides an exact analytical description of the time evolution of local properties in an interacting anyonic system post-quench, highlighting dynamical fermionization effects.

## Key findings

- Initial non-symmetric momentum distribution becomes symmetric at long times
- Final momentum distribution is independent of the anyonic parameter
- Analytical expressions for one-body density matrix and correlations are derived

## Abstract

We study the nonequilibrium quench dynamics of a one-dimensional anyonic gas. We focus on the integrable anyonic Lieb-Liniger model and consider the quench from non-interacting to hard-core anyons. We study the dynamics of the local properties of the system. By means of integrability-based methods we compute analytically the one-body density matrix and the density-density correlation function at all times after the quench and in particular at infinite time. Our results show that the system evolves from an initial state where the local momentum distribution function is non-symmetric to a steady state where it becomes symmetric. Furthermore, while the initial momentum distribution functions (and the equilibrium ones) explicitly depend on the anyonic parameter, the final ones do not. This is reminiscent of the dynamical fermionization observed in the context of free expansions after release from a confining trap.