Exact overlaps in the Kondo problem

Physical Review Letters
Sergei L LukyanovRomain Vasseur

Abstract

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.

References

Nov 9, 1992·Physical Review Letters·S R White
Apr 29, 1996·Physical Review Letters·F LesageS Skorik
Feb 2, 2013·Physical Review Letters·Andrea Gambassi, Alessandro Silva
Apr 1, 2014·Physical Review Letters·Romain VasseurHubert Saleur
Jun 14, 2013·Physical Review Letters·Romain VasseurHubert Saleur

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