Work

Space-like asymptotics of the thermal two-point functions of the XXZ spin-1/2 chain

Year: 2024

Type: article

Abstract: This work proposes a closed formula for the leading term of the large-distance and long-time asymptotics in a cone of the space-like regime for the transverse dynamical two-point functions of the XXZ spin 1/2 chain at finite temperatures. The result follows from a simple analysis of the thermal form factor series for dynamical correlation functions. The obtained leading asymptotics are driven by the Bethe Ansatz data associated with the first sub-leading eigenvalue of the quantum transfer matrix.

Source: Journal of Statistical Mechanics Theory and Experiment

DOI: 10.1088/1742-5468/ad267c

Authors: Frank Göhmann, Karol K Kozlowski

Institutions: University of Wuppertal, École Normale Supérieure de Lyon, Centre National de la Recherche Scientifique, Université de Lyon, Laboratoire de Physique de l'ENS de Lyon

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Centre National de la Recherche Scientifique, H2020 European Research Council

Awards: G1656604150, Large Deviations in Random Matrix Theory