Integrable quantum many-body systems and spin chains play an important role in the exact study of models in statistical physics and quantum field theory. The focus of this project is on integrable boundary states, which naturally appear, for example, as initial states in quantum quenches and in the computation of correlation functions in defect conformal field theories within the framework of the AdS/CFT correspondence.

The task of the PhD student will be the analytical investigation of boundary states in integrable spin chains, with particular emphasis on the computation of overlap formulas, correlation functions, and quench dynamics. The research will employ methods from integrability, quantum algebras, and mathematical physics, aiming to obtain new exact results for statistical physics systems and holographic models.