Generalized exclusion statistics and degenerate signature of strongly interacting anyons

2006/06/30 by Murray T. Batchelor, M T Batchelor, Xin Guan +1 · 6 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Quantum, superfluid, helium dynamics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.74.195121

published as Phys. Rev. B 74 (2006) 195121 · 7 pages, 3 figures, expanded version

arxiv created 2006/08/07 · openalex publication_date 2006/11/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Quantum Mechanics of Fractional-Spin Particles
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics

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• One-dimensional impenetrable anyons in thermal equilibrium: II. Determinant representation for the dynamic correlation functions