Dissipative realization of Kondo models

TL;DR

This paper shows how the Kondo effect can be realized through nonlinear dissipation in fermionic reservoirs, offering a new way to engineer Kondo models with ultracold atoms without relying on coherent interactions.

Contribution

It introduces a dissipative scheme to realize Kondo models using non-linear dissipation, extending the concept beyond traditional coherent impurity interactions.

Findings

Dissipative channels can induce the Kondo effect without coherent impurity interactions.

Residual dissipation competes with the Kondo effect, revealing interplay between coherent and incoherent dynamics.

Extension to multiple lossy sites enables realization of generalized Kondo models with higher spins.

Abstract

We demonstrate that the Kondo effect can be induced through non-linear dissipative channels, without requiring any coherent interaction on the impurity site. Specifically, we consider a reservoir of noninteracting fermions that can hop on a few impurity sites that are subjected to strong two-body losses. In the simplest case of a single lossy site, we recover the Anderson impurity model in the regime of infinite repulsion, with a small residual dissipation as a perturbation. While the Anderson model gives rise to the Kondo effect, this residual dissipation competes with it, offering an instance of a nonlinear dissipative impurity where the interplay between coherent and incoherent dynamics emerges from the same underlying physical process. We further outline how this dissipative engineering scheme can be extended to two or more lossy sites, realizing generalizations of the Kondo model with spin 1 or higher. Our results suggest alternative implementations of Kondo models using ultracold atoms in transport experiments, where localized dissipation can be naturally introduced, and the Kondo effect observed through conductance measurements.