# Kondo Length in Bosonic Lattices

## TL;DR

This paper explores how the Kondo effect can be simulated in ultracold bosonic lattices, providing theoretical estimates of the Kondo length and suggesting experimental methods for its measurement.

## Contribution

It presents a mapping of bosonic chains to spin models and estimates the Kondo length in cold atom systems, advancing the simulation of Kondo physics.

## Key findings

- Kondo length can be estimated from real space correlations.
- Bosonic lattice models can effectively simulate Kondo physics.
- Proposes experimental measurement techniques for Kondo length.

## Abstract

Motivated by the fact that the low-energy properties of the Kondo model can be effectively simulated in spin chains, we study the realization of the effect with bond impurities in ultracold bosonic lattices at half-filling. After presenting a discussion of the effective theory and of the mapping of the bosonic chain onto a lattice spin Hamiltonian, we provide estimates for the Kondo length as a function of the parameters of the bosonic model. We point out that the Kondo length can be extracted from the integrated real space correlation functions, which are experimentally accessible quantities in experiments with cold atoms.