Towards a Non-equilibrium Bethe ansatz for the Kondo Model

TL;DR

This paper extends the thermodynamic Bethe ansatz to non-equilibrium scenarios in the Kondo model, providing integral equations for the cumulants of work done during a quench, using a large N expansion and Slavnov determinants.

Contribution

It introduces a non-equilibrium Bethe ansatz framework for the Kondo model, enabling analysis of work cumulants after a quench.

Findings

Derived integral equations for work cumulants.

Extended Bethe ansatz to non-equilibrium conditions.

Utilized large N expansion and Slavnov determinants.

Abstract

We give integral equations for the generating function of the cummulants of the work done in a quench for the Kondo model in the thermodynamic limit. Our approach is based on an extension of the thermodynamic Bethe ansatz to non-equilibrium situations. This extension is made possible by use of a large $N$ expansion of the overlap between Bethe states. In particular, we make use of the Slavnov determinant formula for such overlaps, passing to a function-space representation of the Slavnov matrix . We leave the analysis of the resulting integral equations to future work.