Exploring quantum spin models with tunable arrays of Rydberg atoms

"Rydberg atoms in arrays of optical tweezers offer a new perspective for the quantum simulation of many body systems. In this talk, I will give a brief overview about this platform and describe our efforts to control Rydberg interactions to explore different types of Hamiltonians. Through recent experimental results, I will illustrate the implementation of the Ising [1] and XXZ [2] Hamiltonians to study quantum magnetism. Finally, I will show our first steps to scale up the atom numbers in our platform by using a cryogenic environment [3]. References: [1] P. Scholl et al., Nature 595, 233 (2021). [2] P. Scholl et al., PRX Quantum 3, 020303 (2022). [3] K.N. Schymik et al., Phys. Rev. Applied 16, 034013 (2021)."