Room-Temperature Quantum Simulation with Atomically Thin Nuclear Spin Layers in Diamond

Quantum simulation aims to recreate complex many-body phenomena in controlled environments, offering insights into dynamics that are otherwise difficult to model. Existing platforms, however, are often complex and costly to scale, typically requiring ultra-pure vacuum or low temperatures. Here, we realize a room-temperature quantum simulator using a thin ${}^{13}\text{C}$ nuclear spin layer in diamond. Nearby nitrogen-vacancy centers enable polarization, readout, and, combined with radio-frequency fields, coherent control of the nuclear spins. We demonstrate strong, tunable interactions among the nuclear spins and use the system to investigate discrete time-crystalline order. By combining ease of use with operation at ambient temperatures, our work opens new opportunities for investigating strongly correlated many-body effects.