High-temperature analysis of the transverse dynamical two-point correlation function of the XX quantum-spin chain - Archive ouverte HAL
Article Dans Une Revue Journal of Mathematical Physics Année : 2020

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

Frank Göhmann
  • Fonction : Auteur
Junji Suzuki
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-02147977 , version 1 (05-06-2019)

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Citer

Frank Göhmann, Karol K. Kozlowski, Junji Suzuki. High-temperature analysis of the transverse dynamical two-point correlation function of the XX quantum-spin chain. Journal of Mathematical Physics, 2020, 61 (1), pp.013301. ⟨10.1063/1.5111039⟩. ⟨hal-02147977⟩
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