Strongly interacting mesoscopic systems of anyons in one dimension

Abstract

Using the fractional statistical properties of so-called anyonic particles, we present exact solutions for up to six strongly interacting particles in one-dimensional confinement that interpolate the usual bosonic and fermionic limits. Specifically, we consider two-component mixtures of anyons and use these to eludicate the mixing-demixing properties of both balanced and imbalanced systems. Importantly, we demonstrate that the degree of demixing depends sensitively on the external trap in which the particles are confined. We also show how one may in principle probe the statistical parameter of an anyonic system by injection a strongly interacting impurity and doing spectral or tunneling measurements.

6 pages, 5 figures, final version with corrected equation (A3)

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Cited by in corpus (25)

• One-dimensional mixtures of several ultracold atoms: a review
• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• Few strongly interacting ultracold fermions in one-dimensional traps of different shapes
• Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics
• Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures
• Critical points of the anyon-Hubbard model
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• Anyons from Three-Body Hard-Core Interactions in One Dimension
• 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
• Analytical and numerical studies of Bose-Fermi mixtures in a one-dimensional harmonic trap
• Ground state properties of hard-core anyons in a harmonic potential
• Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
• On the Dynamics of Free-Fermionic Tau-Functions at Finite Temperature
• Three-body interaction effects on the ground state of one-dimensional anyons
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Triple Antidot Molecules
• One-dimensional anyons in relativistic field theory
• Quench Dynamics of Anyon Tonks-Girardeau Gases