Riemann-Hilbert approach to Slavnov overlaps in the Lieb-Liniger model
Phys. Rev. B 112, 195110 – Published 12 November, 2025
DOI: https://doi.org/10.1103/qbwq-x67z
Abstract
We provide a method to compute Slavnov overlaps in the Lieb-Liniger model using the steepest descent method of the Riemann-Hilbert problem. To do so, we employ the Matsuo-Kostov representation of the Slavnov overlaps to derive an integral equation for the respective resolvent, and then represent this equation as a Riemann-Hilbert problem. We demonstrate the validity and applicability of the method by computing the Anderson orthogonality catastrophe in the limit, corresponding to free fermions.
