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

摘要

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