Dynamical properties of hard-core anyons in one-dimensional optical lattices

TL;DR

This paper studies the dynamical behavior of one-dimensional hard-core anyons in optical lattices, revealing how their statistical properties influence momentum and orbital occupations through exact numerical simulations.

Contribution

It introduces a detailed numerical analysis of how statistical parameters affect the dynamical properties of hard-core anyons in optical lattices.

Findings

Density profiles are unaffected by statistical parameters during evolution.

Momentum distributions depend on the statistical parameter.

Occupations of natural orbitals vary with statistical property.

Abstract

We investigate the dynamical properties of anyons confined in one-dimensional optical lattice combined with a weak harmonic trap using the exact numerical method based on a generalized Jordan-Wigner transformation. The density profiles, momentum distribution, occupation distribution and occupations of the lowest natural orbital are obtained for different statistical parameters. The density profiles of anyons display the same behaviors irrespective of statistical parameter in the full evolving period. While the behaviors dependent on statistical property are shown in the momentum distributions and occupations of natural orbitals.