Generalized exclusion statistics and degenerate signature of strongly interacting anyons

TL;DR

This paper demonstrates that strongly interacting anyons in one dimension exhibit distribution profiles and thermodynamic properties consistent with generalized exclusion statistics, revealing a signature of their strong interactions.

Contribution

It establishes a connection between strongly interacting anyons and generalized exclusion statistics, providing a new way to characterize their behavior.

Findings

Distribution profiles match ideal GES particles below degenerate temperature

Thermodynamics and local correlations agree with GES predictions at low temperatures

Identifies a continuous range of GES as a 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.