Work

High-temperature analysis of the transverse dynamical two-point correlation function of the XX quantum-spin chain

Year: 2020

Type: article

Abstract: We analyze the transverse dynamical two-point correlation function of the XX chain by means of a thermal form factor series. The series is rewritten in terms of the resolvent and the Fredholm determinant of an integrable integral operator. This connects it with a matrix Riemann-Hilbert problem. We express the correlation function in terms of the solution of the matrix Riemann-Hilbert problem. The matrix Riemann-Hilbert problem is then solved asymptotically in the high-temperature limit. This allows us to obtain the leading high-temperature contribution to the two-point correlation function at any fixed space-time separation.

Source: Journal of Mathematical Physics

DOI: 10.1063/1.5111039

Authors: Frank Göhmann, Karol K. Kozlowski, Junji Suzuki

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

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, Japan Society for the Promotion of Science

Awards: G1656604150, G3223231094, Exact analysis on dynamical quantum correlation functions and its applications to equilibrium and non-equilibrium systems, Exact analysis of quantum correlation and its application to quench systems, New trends in integrable systems, non-equilibrium, duality and quantum geometry