# Quasiexact Kondo Dynamics of Fermionic Alkaline-Earth-Like Atoms at Finite Temperatures

## TL;DR

This paper demonstrates a quasi-exact numerical simulation of the Kondo effect in fermionic ytterbium atoms at finite temperatures, revealing characteristic temperature-dependent transport behavior through improved computational methods.

## Contribution

It introduces an enhanced METTS algorithm with additional Trotter gates for efficient finite-temperature simulations of the Kondo model.

## Key findings

- Logarithmic suppression of center-of-mass motion at lower temperatures
- Quasi-exact finite-temperature dynamics of the 1D Kondo model
- Detection of Kondo effect via trap potential quench dynamics

## Abstract

A recent experiment has observed the antiferromagnetic interaction between the ground state $^1S_0$ and the metastable state $^3P_0$ of $^{171}$Yb atoms, which are fermionic. This observation combined with the use of state-dependent optical lattices allows for quantum simulation of the Kondo model. We propose that in this Kondo simulator the anomalous temperature dependence of transport, namely the Kondo effect, can be detected through quench dynamics triggered by the shift of a trap potential. For this purpose, we improve the numerical efficiency of the minimally entangled typical thermal states (METTS) algorithm by applying additional Trotter gates. Using the improved METTS algorithm, we compute the quench dynamics of the one-dimensional Kondo model at finite temperatures quasi-exactly. We find that the center-of-mass motion exhibits a logarithmic suppression with decreasing the temperature, which is a characteristic feature of the Kondo effect.