Long Time Behvaior of the Kondo Model After a Quench

TL;DR

This paper investigates the long-time behavior of the Kondo model after a quench, focusing on the statistical weight of excitations and overlaps between initial and final states using a functional approach.

Contribution

It introduces a novel functional representation method to compute overlaps in the Kondo model post-quench, providing explicit expressions for long-time excitation weights.

Findings

Computed excitation weights relate to initial and final state overlaps.

Used Slavnov approach with functional representation for calculations.

Provided explicit formulas for long-time behavior in the Kondo problem.

Abstract

We find the statistical weight of excitations at long times following a quench in the Kondo problem. The weights computed are directly related to the overlap between initial and final states that are, respectively, states close to the Kondo ground state and states close to the normal metal ground state. The overlap is computed making use of the Slavnov approach, whereby a functional representation method is adopted, in order to obtain definite expressions.