Abstract
We consider the Rényi-α tripartite information \( {I}_3^{\left(\alpha \right)} \) of three adjacent subsystems in the stationary state emerging after global quenches in noninteracting spin chains from both homogeneous and bipartite states. We identify settings in which \( {I}_3^{\left(\alpha \right)} \) remains nonzero also in the limit of infinite lengths and develop an effective quantum field theory description of free fermionic fields on a ladder. We map the calculation into a Riemann-Hilbert problem with a piecewise constant matrix for a doubly connected domain. We find an explicit solution for α = 2 and an implicit one for α > 2. In the latter case, we develop a rapidly convergent perturbation theory that we use to derive analytic formulae approximating \( {I}_3^{\left(\alpha \right)} \) with outstanding accuracy.
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This work was supported by the European Research Council under the Starting Grant No. 805252 LoCoMacro.
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Marić, V., Fagotti, M. Universality in the tripartite information after global quenches: (generalised) quantum XY models. J. High Energ. Phys. 2023, 140 (2023). https://doi.org/10.1007/JHEP06(2023)140
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DOI: https://doi.org/10.1007/JHEP06(2023)140