2017/08/31 by Frank Göhmann, Michael Karbach, Andreas Klümper +3 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Correlation function (quantum field theory) #Hamiltonian (control theory) #Integrable system #Lattice (music) #Mathematical analysis #Mathematical optimization #Mathematics #Matrix (chemical analysis) #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Series (stratigraphy) #Statistical physics #Transfer matrix #cond-mat.stat-mech #cond-mat.str-el #hep-th
paper · pdf · doi:10.1088/1742-5468/aa9678
published as J. Stat. Mech.: Theor. Exp. (2017) P113106, (43pp) · 42 pages, LaTeX, v2: minor corrections, references added, published version, v3: typos corrected
openalex created_date 2017/08/31 · openalex publication_date 2017/11/01 · arxiv created 2020/08/01 · arxiv updated 2020/08/04 · openalex updated_date 2026/08/05
Abstract We propose a method for calculating dynamical correlation functions at finite temperature in integrable lattice models of Yang–Baxter type. The method is based on an expansion of the correlation functions as a series over matrix elements of a time-dependent quantum transfer matrix rather than the Hamiltonian. In the infinite Trotter-number limit the matrix elements become time independent and turn into the thermal form factors studied previously in the context of static correlation functions. We make this explicit with the example of the XXZ model. We show how the form factors can be summed utilizing certain auxiliary functions solving finite sets of nonlinear integral equations. The case of the XX model is worked out in more detail leading to a novel form-factor series representation of the dynamical transverse two-point function.