Driven-dissipative Self-organization of Single Atomic Array in a Optical Cavity

Collective scattering of coherently-driven atoms into a high-finesse optical cavity allows for coherent build-up of cavity field, creating a dynamic potential that lead to spontaneous symmetry breaking. This phenomenon has been explored extensively on atomic emsembles, leading to the emergence of quantum Dicke phase transition.

We hope to resolve the self-organization behavior of the cavity-drive-field dynamic potential to single atom level. Introducing single atom array into the picture enables us to precisely initialize and tune the tweezer locations in real-time. This opens the door for the following possibilities: Monitoring of the effect of dynamic field build-up on the single atom level. Is there momentum space self-organization and what role it plays in cavity cooling.

Finally, using fast cavity readout we can study the real-time self-consistent physics of the cavity field and its correlation with the atom array position, which is a result of tweezer position and the dynamically induced cavity field, and possibly perform real-time feedback on the tweezer location.