Fractionalization Waves in Two-dimensional Dirac Fermions: Quantum Imprint from One Dimension

TL;DR

This paper proposes a method to detect particle fractionalization in ultracold gases by observing relativistic fractionalization waves in 2D Dirac fermions, revealing quantum correlations from 1D chains.

Contribution

It introduces a simple measurement scheme to detect fractionalization waves in 2D Dirac fermions using quantum quenches in ultracold gases, linking 1D correlations to 2D phenomena.

Findings

Fractionalization waves can be launched along chains after a quantum quench.

Coupling between chains induces perpendicular dispersion of these waves.

The proposed method is feasible for ultracold gas experiments.

Abstract

Particle fractionalization is believed to orchestrate the physics of many strongly correlated systems, yet its direct experimental detection remains a challenge. We propose a simple measurement for an ultracold matter system, in which correlations in initially decoupled 1D chains are imprinted via quantum quench upon two-dimensional Dirac fermions. Luttinger liquid correlations launch relativistic "fractionalization waves" along the chains, while coupling noninteracting chains induces perpendicular dispersion. These could be easily distinguished in an ultracold gas experiment.