1994/06/30 by Fabian H. L. Essler, Fabian H.L. Eβler · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Opinion Dynamics and Social Influence #Quantum many-body systems #cond-mat
paper · pdf · doi:10.1103/physrevb.51.13357
18 pages, jyTeX (macro included - just TeX the file) BONN-TH-94-13, revised version: analysis of models with 1/sinh^2 interaction added
arxiv created 1994/12/19 · openalex publication_date 1995/05/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The dressed scattering matrix describing scattering of quasiparticles in various models with long-range interactions is evaluated by means of Korepin's method [V. E. Korepin, Theor. Mat. Phys. 41, 953 (1979)]. For models with 1/sin2(r) interactions, the S matrix is found to be a momentum-independent phase, which clearly demonstrates the ideal-gas character of the quasiparticles in such models. We then determine S matrices for some models with 1/sinh2(r) interactions and find them to be, in general, nontrivial. For the 1/r2 limit of the 1/sinh2(r) interaction we recover trivial S matrices, thus exhibiting a crossover from interacting to noninteracting quasiparticles. The relation of the S matrix to fractional statistics is discussed.