Quench Dynamics of Anyon Tonks-Girardeau Gases

TL;DR

This paper studies the real-time dynamics of strongly interacting anyons in a harmonic trap, revealing how their density and momentum distributions evolve and exhibit unique symmetry-breaking behaviors.

Contribution

It provides an exact analysis of the dynamical evolution of anyon gases, highlighting novel symmetry-breaking phenomena during trap quenches.

Findings

Density profiles are independent of statistical parameter during evolution.

Momentum distributions become fermion-like after trap release.

Asymmetric breath modes appear during trap frequency quenches.

Abstract

We investigate the dynamical evolution of strongly interacting anyons confined in a weak harmonic trap using the exact anyon-fermion mapping method. The density profiles, momentum distribution, and the reduced one-body density matrix are obtained for different statistical parameters. The density profiles of anyons display the same behaviors irrespective of statistical parameter during the evolution. As the harmonic trap is turned off suddenly, the momentum distributions exhibit the symmetric fermion-like behaviour in the long time evolution. As the trap frequency is quenched, the momentum distribution exhibit an asymmetry breath mode during the evolution. The reduced one-body density matrix show the dynamical symmetry broken and reproduced behaviour.