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.

arXiv commentTypos corrected. Crucial references added

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Cited by in corpus (6)

• The Quench Action
• Relaxation dynamics of local observables in integrable systems
• The Whitham Approach to the $c\to 0$ limit of The Lieb-Liniger Model and Generalized Hydrodynamics
• Tight-Binding Kondo Model and Spin-Exchange Collision Rate of Alkaline-Earth Atoms in a Mixed-Dimensional Optical Lattice
• 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