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

2008/03/31 by Ovidiu I. Patu, Ovidiu I Pâţu, Vladimir E. Korepin +3
Chemistry · Mathematics · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #cond-mat.stat-mech #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/1751-8113/41/25/255205

published as J. Phys. A: Math. Theor. 41 (2008) 255205 · 16 pages, RevTeX 4

openalex publication_date 2008/05/28 · arxiv created 2008/09/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We have obtained a determinant representation for the time- and temperature-dependent field–field correlation function of the impenetrable Lieb–Liniger gas of anyons through direct summation of the form factors. In the static case, the obtained results are shown to be equivalent to those that follow from the anyonic generalization of Lenard's formula.

Citations

• Correlation functions of one-dimensional anyonic fluids
• Generalized exclusion statistics and degenerate signature of strongly interacting anyons
• One-Dimensional Interacting Anyon Gas: Low-Energy Properties and Haldane Exclusion Statistics
• Correlation functions of one-dimensional Lieb–Liniger anyons