Correlation functions of one-dimensional anyonic fluids

2007/03/05 by Pasquale Calabrese, Mihail Mintchev · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Quantum, superfluid, helium dynamics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1103/physrevb.75.233104

published as Phys.Rev.B75:233104,2007 · 4 pages, 1 figure

arxiv created 2007/03/05 · openalex publication_date 2007/06/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A universal description of correlation functions of one-dimensional anyonic gapless systems in the low-momentum regime is presented. We point out a number of interesting features, including universal oscillating terms with frequency proportional to the statistical parameter and beating effects close to the fermion points. The results are applied to the one-dimensional anyonic Lieb-Liniger model and checked against the exact results in the impenetrable limit.

Citations

• Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments
• Generalized exclusion statistics and degenerate signature of strongly interacting anyons
• One-Dimensional Interacting Anyon Gas: Low-Energy Properties and Haldane Exclusion Statistics
• Bosonizing one-dimensional cold atomic gases

Cited by

• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• One-dimensional impenetrable anyons in thermal equilibrium: II. Determinant representation for the dynamic correlation functions
• Anyonization of bosons in one dimension: an effective swap model