Asymmetric and chiral dynamics of two-component anyons with synthetic gauge flux

TL;DR

This paper explores the non-equilibrium dynamics of two-component anyons in a one-dimensional model, revealing asymmetric transport, symmetry properties, and tunable chiral behaviors influenced by statistics, gauge flux, and interactions.

Contribution

It introduces a detailed analysis of asymmetric and chiral dynamics in a two-component anyon-Hubbard model with synthetic gauge flux, highlighting new dynamical regimes and symmetry properties.

Findings

Asymmetric transport with broken inversion symmetry observed.

Dynamical symmetry under spatial inversion and component flip identified.

Chiral and antichiral dynamics can be tuned by statistics phase and gauge flux.

Abstract

In this work, we investigate the non-equilibrium dynamics in a one-dimensional two-component anyon-Hubbard model, which can be mapped to an extended Bose-Hubbard ladder with density-dependent hopping phase and synthetic gauge flux. Through numerical simulations of two-particle dynamics and the symmetry analysis, we reveal the asymmetric transport with broken inversion symmetry and two dynamical symmetries in the expansion dynamics. The expansion of two-component anyons is dynamically symmetric under spatial inversion and component flip, when the sign of anyonic statistics phase or the signs of gauge flux and interaction are changed. In the non-interacting case, we show the dynamical suppression induced by both the statistics phase and gauge flux. In the interacting case, we demonstrate that both chiral and antichiral dynamics can be exhibited and tuned by the statistics phase and gauge flux. The dynamical phase regimes with respect to the chiral-antichiral dynamics are obtained. These findings highlight the rich dynamical phenomena arising from the interplay of anyonic exchange statistics, synthetic gauge fields, and interactions in multi-component anyons.