Kornovan, D.Vlasiuk, E.Poddubny, A.Petrov, M.2025-06-292025-06-291742-6588http://www.scopus.com/inward/record.url?scp=85120858763&partnerID=8YFLogxKhttps://hdl.handle.net/1885/733765452In modern quantum optics chiral waveguide quantum-electrodynamical (wQED) systems are attracting a lot of attention from the perspective of fundamental science, and possible interesting applications. In our work we theoretically analyze the eigenstates in a two-excitation domain of an ensemble of two-level atoms that are periodically spaced, and asymmetrically coupled to a guided mode. We found that in a regime when all atoms emit photons in-phase, most eigenstates in such a system can be well-approximated and described through the eigenstates from a single excitation domain, while the rest present a superposition of bound states with two strongly attracting excitations, and states, for which the excitations strongly repel from each other occupying the opposite edges of the system.This work was supported by the Russian Science Foundation (Grant № 21-72-00096). D. K. also acknowledges support from the Basis Foundation.enPublisher Copyright: © 2021 Institute of Physics Publishing. All rights reserved.2021-11-1710.1088/1742-6596/2015/1/01207085120858763