Finite-frequency dissipation in a driven Kondo model

TL;DR

This paper investigates how a localized impurity in a Kondo system dissipates energy when its hybridization with conduction electrons is periodically modulated, revealing frequency-dependent dissipation behaviors relevant to high-frequency quantum dot applications.

Contribution

It introduces a detailed analysis of finite-frequency dissipation in a driven Kondo model using a resonant level and Gutzwiller approximation, highlighting non-trivial frequency effects.

Findings

Dissipated energy proportional to Kondo temperature

Low-frequency dissipation approximates a single quench case

High-frequency dissipation drops to zero after a maximum

Abstract

Using both a resonant level model and the time-dependent Gutzwiller approximation, we study the power dissipation of a localized impurity hybridized with a conduction band when the hybridization is periodically switched on and off. The total dissipated energy is proportional to the Kondo temperature, with a non-trivial frequency dependence. At low frequencies it can be well approximated by the one of a single quench, and is obtainable analitically; at intermediate frequencies it undergoes oscillations; at high frequencies, after reaching its maximum, it quickly drops to zero. This frequency-dependent energy dissipation could be relevant to systems such as irradiated quantum dots, where Kondo can be switched at very high frequencies.