Abstract: Rydberg tweezer arrays provide a versatile platform to explore new types of strongly correlated many-body physics. Different types of interactions, such as dipolar XY, van-der-Waals Ising ZZ, and spin-flip terms, can simultaneously exist. Furthermore, the Rydberg blockade mechanism can be used to prevent the excitation of another, nearby-situated Rydberg atom akin to the Gauss law in lattice gauge theory. In the talk I give an overview of the current state of the art and discuss pros and cons of this approach bridging the fields of quantum magnetism, super-solids, transfer loading from tweezers to optical lattices, spin squeezing, dynamically prepared topological states, and comment on hybrid analog-digital approaches.

Contact: Lei Wang 9853