Many-Body Physics with Spin States of Rydberg Atoms

Rydberg atoms with very high principal quantum numbers trapped in a optical trap are used to study the collective spin properties of ultracold atomic systems. The interaction Hamil-tonian of collective spin states of ultracold Rydberg atoms were explored in diatomic and tri-atomic chains. Quantum control methodology is presented to design many-body spin states using laser pulses and a magnetic field. A two-photon ladder type configuration is implemented, which is advantageous due to the combined action of the one-photon and two-photon detunings as control parameters. Many-body spin states are designed consisting of an ensemble of spins encoded in sublevels of Rydberg states and coupled via the van der Waals interactions [1].