Generalized exclusion statistics and degenerate signature of strongly interacting anyons

Abstract

We show that below the degenerate temperature the distribution profiles of strongly interacting anyons in one dimension coincide with the most probable distributions of ideal particles obeying generalized exclusion statistics (GES). In the strongly interacting regime the thermodynamics and the local two-particle correlation function derived from the GES are seen to agree for low temperatures with the results derived for the anyon model using the thermodynamic Bethe Ansatz. The anyonic and dynamical interactions implement a continuous range of GES, providing a signature of strongly interacting anyons, including the strongly interacting one-dimensional Bose gas.

7 pages, 3 figures, expanded version

References in corpus (4)

• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
• Anyon-fermion mapping and applications to ultracold gases in tight waveguides

Cited by in corpus (14)

• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Correlation functions of one-dimensional anyonic fluids
• Ferromagnetic behaviour in the strongly interacting two-component Bose gas
• Correlation Functions of One-Dimensional Lieb-Liniger Anyons
• Ground-state properties of one-dimensional anyon gases
• Junctions of anyonic Luttinger wires
• Ground-state properties of hard-core anyons in one-dimensional optical lattices
• Bethe Ansatz for 1D interacting anyons
• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• Entanglement properties and moment distributions of a system of hard-core anyons on a ring
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. I. Anyonic Generalization of Lenard's Formula
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. II. Determinant Representation for the Dynamic Correlation Functions
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
• Quantum Inverse Scattering Method with anyonic grading