Fermionization and bosonization of expanding 1D anyonic fluids

TL;DR

This paper investigates the dynamical fermionization and bosonization of expanding one-dimensional anyonic fluids, revealing how their momentum distributions evolve to resemble those of non-interacting fermions or bosons over time.

Contribution

It provides an exact numerical analysis of how 1D anyonic gases dynamically evolve to fermionic or bosonic distributions after expansion, highlighting the effects of initial confinement.

Findings

Momentum distribution becomes fermion-like at large times (fermionization).

Momentum distribution approaches Bose gas form for attractive interactions (bosonization).

Characteristic time scales depend on initial trap and interaction strength.

Abstract

The momentum distribution of an expanding cloud of one-dimensional hard-core anyons is studied by an exact numerical approach, and shown to become indistinguishable from that of a non-interacting spin-polarized Fermi gas for large enough times (dynamical fermionization). We also consider the expansion of one-dimensional anyons with strongly attractive short-range interactions suddenly released from a parabolic external potential, and find that momentum distribution approaches that of its dual system, the ideal Bose gas (dynamical bosonization). For both processes the characteristic time scales are identified, and the effect of the initial confinement is analyzed comparing the dynamics associated with both harmonic and hard-wall traps.