The development of state-dependent optical lattice for alkaline-earth atoms  has opened up a way to analog quantum simulators of Kondo models.
Moreover, very recently, Takahashi group at Kyoto University has experimentally confirmed that the interaction between 1S0 and 3P0 states of 171Yb atoms is antiferromagnetic ; Ultracold atom systems for simulating the Kondo effect are ready. The Kondo effect is the anomalous temperature dependence of the resistance of metals with magnetic impurities. Here one problem arises. How does one detect this effect within ultracold atom systems? To solve this problem, we numerically simulate the finite temperature dynamics of the Kondo model and try to find dynamics that capture the Kondo effect. For these simulations, we also improve techniques for calculating physical observables at finite temperatures with matrix product states. The dynamics we simulate show some Kondo-like behaviors, though more data are required to conclude that the dynamics capture the Kondo effect.
 L. Riegger et al., Phys. Rev. Lett. 120, 143601 (2018).
 K. Ono et al., arXiv:1810.00536