# Equilibrium dynamics of the XX chain

@article{Ghmann2019EquilibriumDO,
title={Equilibrium dynamics of the XX chain},
author={Frank G{\"o}hmann and Karol Kajetan Kozlowski and Jesko Sirker and Junji Suzuki},
journal={Physical Review B},
year={2019}
}
• Published 7 June 2019
• Physics
• Physical Review B
The equilibrium dynamics of the spin-1/2 XX chain is re-examined within a recently developed formalism based on the quantum transfer matrix and a thermal form factor expansion. The transversal correlation function is evaluated in real time and space. The high-accuracy calculation reproduces several exact results in limiting cases as well as the well-known asymptotic formulas obtained by the matrix Riemann-Hilbert approach. Furthermore, comparisons to numerical data based on a direct…
• Physics
SciPost Physics
• 2022
We consider the XY spin chain with arbitrary time-dependent magnetic field and anisotropy. We argue that a certain subclass of Gaussian states, called Coherent Ensemble (CE) following [1], provides a
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Journal of Mathematical Physics
• 2020
We analyse 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
• P. Bibikov
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Journal of Statistical Mechanics: Theory and Experiment
• 2020
The Dyson equation for the real two-time commutator retarded one-magnon Green function of the ferromagnetically polarized XX chain is suggested following the Plakida–Tserkovnikov algorithm. Starting
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• 2020
We introduce effective form factors for one-dimensional lattice fermions with arbitrary phase shifts. We study tau functions defined as series of these form factors. On the one hand we perform the
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Journal of Mathematical Physics
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We consider the longitudinal dynamical two-point function of the XXZ quantum spin chain in the antiferromagnetic massive regime. It has a series representation based on the form factors of the
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Letters in Mathematical Physics
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We derive an explicit expression for the leading term in the long-time, large-distance asymptotic expansion of a transverse dynamical two-point function of the XX chain in the spacelike regime. This
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Letters in Mathematical Physics
• 2020
We derive an explicit expression for the leading term in the long-time, large-distance asymptotic expansion of a transverse dynamical two-point function of the XX chain in the spacelike regime. This
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SciPost Physics Core
• 2022
In this work we explore an instance of the \tauτ-function of vertex type operators, specified in terms of a constant phase shift in a free-fermionic basis. From the physical point of view this
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Physical Review B
• 2021
The spin-1/2 XXZ chain is an integrable lattice model and parts of its spin current can be protected by local conservation laws for anisotropies −1 < ∆ < 1. In this case, the Drude weight D(T ) is
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Physical Review B
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We study thermal correlation functions of the one-dimensional impenetrable lattice anyons. These correlation functions can be presented as a difference of two Fredholm determinants. To describe large

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