2014/11/06 by Sergei L. Lukyanov, Hubert Saleur, Jesper Lykke Jacobsen +2
Physics and Astronomy · #Anderson impurity model #Ansatz #Bethe ansatz #Density matrix renormalization group #Impurity #Integrable system #Kondo effect #Mathematical physics #Perturbation theory (quantum mechanics) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Thermodynamic limit #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevlett.114.080601
published as Phys. Rev. Lett. 114, 080601 (2015) · 4.5+7 pages. 3 figures
arxiv created 2014/11/06 · openalex publication_date 2015/02/24 · arxiv updated 2015/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is well known that the ground states of a Fermi liquid with and without a single Kondo impurity have an overlap that decays as a power law of the system size, expressing the Anderson orthogonality catastrophe. Ground states with two different values of the Kondo couplings have, however, a finite overlap in the thermodynamic limit. This overlap, which plays an important role in quantum quenches for impurity systems, is a universal function of the ratio of the corresponding Kondo temperatures, which is not accessible using perturbation theory or the Bethe ansatz. Using a strategy based on the integrable structure of the corresponding quantum field theory, we propose an exact formula for this overlap, which we check against extensive density matrix renormalization group calculations.