Microscopy of spin and charge responses at low temperatures in a Fermi-Hubbard quantum simulator

The Fermi-Hubbard model is a fundamental model in the understanding of strongly correlated electron systems. Despite its simplicity, its phase diagram at low temperatures (T/t<~0.1) and finite doping (5-20%) remains a challenge for standard computational methods and is a subject of ongoing investigation. One of the key features in this regime is a set of fluctuating intertwined spin and charge stripes. Recent experimental progress on low-entropy state preparation has enabled fermionic Hubbard simulators to access such a regime. Here we present systematic measurements of equal-time, static, and dynamic spin and charge responses, providing a microscopic perspective on the correlated spin and charge dynamics in a regime which is believed to host spin stripes. Our results pave the way towards addressing open problems in the Hubbard model and offer a valuable benchmark for state-of-the-art numerical techniques in this challenging regime.