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

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.

7 pages and 8 figures

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Cited by in corpus (37)

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• Engineering interactions and anyon statistics by multicolor lattice-depth modulations
• Ground-state properties of anyons in a one-dimensional lattice
• Quantum Walks of Two Interacting Anyons in 1D Optical Lattices
• Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics
• Density-dependent synthetic magnetism for ultracold atoms in optical lattices
• Critical points of the anyon-Hubbard model
• Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• One-body reduced density matrix of trapped impenetrable anyons in one dimension
• Topological Exchange Statistics in One Dimension
• Correlation functions of one-dimensional strongly interacting two-component gases
• Probing the exchange statistics of one-dimensional anyon models
• Ground state properties of hard-core anyons in a harmonic potential
• Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
• Creating anyons from photons using a nonlinear resonator lattice subject to dynamic modulation
• Three-body interaction effects on the ground state of one-dimensional anyons
• Statistically related many-body localization in the one-dimensional anyon Hubbard model
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Exact dynamical correlations of nonlocal operators in quadratic open Fermion systems: a characteristic function approach
• Quantum computation from fermionic anyons on a 1D lattice
• Numerical simulation of non-abelian anyons
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• Quantum walk of two anyons across a statistical boundary
• One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
• Statistics-tuned phases of pseudofermions in one dimension
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
• Critical Exponent of Dynamical Quantum Phase Transition in One-Dimensional Bose-Hubbard Model in the Strong Interacting Limit
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Beats, broken-symmetry superfluid on a one dimensional anyon Hubbard model
• Quench Dynamics of Anyon Tonks-Girardeau Gases
• One-dimensional anyons in relativistic field theory