Quantum simulation - from fractional quantum Hall physics and Pfaffian states to magnon excitations and pseudogap in the Hubbard model

I will present recent breakthroughs in quantum simulation. Using Floquet engineering, we create artificial gauge fields that enable the realization of strongly correlated topological states of matter. I will report on the observation of fractional quantum Hall and Pfaffian states in few-particle systems. I will then describe a recent breakthrough in Fermi–Hubbard quantum simulations, where we have significantly lowered temperatures and accessed regimes beyond current computational capabilities. I will focus on directly probing elementary excitations, such as magnon modes, in the pseudogap regime of the doped Hubbard model.