2005/02/24 by Zengo Tsuboi, Masahiro Shiroishi
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1088/0305-4470/38/20/l05
published as J.Phys. A38 (2005) L363-L370 · 4 pages, 5 eps figures
arxiv created 2005/02/24 · openalex publication_date 2005/05/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
Recently, Göhmann, Klümper and Seel have derived novel integral formulae for the correlation functions of the spin-1/2 Heisenberg chain at finite temperature. We have found that the high temperature expansion (HTE) technique can be effectively applied to evaluate these integral formulae. Actually, as for the emptiness formation probability P ( n ) of the isotropic Heisenberg chain, we have found a general formula of the HTE for P ( n ) with arbitrary up to O (( J / T ) 4 ). If we fix a magnetic field to a certain value, we can calculate the HTE to much higher order. For example, the order up to O (( J / T ) 42 ) has been achieved in the case of P (3) when h = 0. We have compared these HTE results with the data by quantum Monte Carlo simulations. They exhibit excellent agreement.