Towards a Non-equilibrium Bethe ansatz for the Kondo Model

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.

Typos corrected. Crucial references added

References in corpus (4)

• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Quantum quench in the sine-Gordon model
• Semi-classical analysis of the inner product of Bethe states
• Exact overlaps in the Kondo problem

Cited by in corpus (2)

• Nonlocality as the source of purely quantum dynamics of BCS superconductors
• Exact Matrix Elements of the Field Operator in the Thermodynamic Limit of the Lieb-Liniger Model