2007/03/31 by Kazumitsu Sakai
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum many-body systems #Random Matrices and Applications #cond-mat.stat-mech #hep-th #math-ph #math.MP #math.QA #nlin.SI
paper · pdf · doi:10.1088/1751-8113/40/27/007
published as J.Phys.A40:7523-7542,2007 · 22 pages, v4: typos corrected, published version
openalex publication_date 2007/06/19 · arxiv created 2007/07/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal correlation function of the spin-1/2 Heisenberg XXZ chain at finite temperature and in an external magnetic field. Our formula reproduces the previous results in the following three limits: the static, the zero-temperature and the XY limits.