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

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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.
Funding Information
  • Deutsche Forschungsgemeinschaft (FOR 2316)
  • Japan Society for the Promotion of Science (15K05208, 18K03452, 18H01141)
  • Centre National de la Recherche Scientifique (PICS07877)

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