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Journal Articles Physical Review Letters Year : 2015

Exact overlaps in the Kondo problem

Abstract

It is well known that the ground states of a Fermi liquid with and without a single Kondo impurity have an overlap which 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 nor 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.
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cea-01229970 , version 1 (11-04-2023)

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Sergei L. Lukyanov, Hubert Saleur, Jesper L. Jacobsen, Romain Vasseur. Exact overlaps in the Kondo problem. Physical Review Letters, 2015, 114 (8), pp.080601. ⟨10.1103/PhysRevLett.114.080601⟩. ⟨cea-01229970⟩
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