Studying Quantum Magnetism with few cold atoms

Models describing quantum magnetism are of large interest as they can potentially shed light on exotic properties of matter such as on unconventional superconductivity. To study such models we aim for a bottom-up approach in which we assemble a many-body state from its basic building block using few cold atoms.
We present how we deterministically prepare such a building block, a singlet state of two spin-1/2 fermions in a double well potential. By tuning the system into a regime where the superexchange energy is the dominant energy scale we realize the smallest possible Heisenberg Hamiltonian. Combining several of such singlet states should allow us to study quantum magnetism in larger systems.