Quantum Dynamics and Control of reconfigurable Rydberg atom arrays

Abstract

Rydberg atoms are a highly promising platform for scalable digital quantum computation as well as analog quantum simulation. The implementation of entangling gates in Rydberg Quantum Computers calls for dynamical reconfiguration of the atoms in movable optical tweezers as well as several local addressing beams. The goal of this thesis is to explore the uses of reconfigurable tweezers in Rydberg Quantum simulators, where we demonstrate the possibility of engineering the state of a whole array using a single moving Rydberg atom, generating multipartite entangled states in different LOCC classes. Generalizing our setup to a many-body setting, we are also able to prepare states with multiple domain-walls, useful in the study of quantum speed limits, using a new kind of Landau-Zener transition, and interpret the dynamics by constructing an analytic mapping to Raman transitions. The arrangements of strongly interacting Rydberg atoms we consider also provide insights into the theory of Local Counter-diabatic Driving. Here we have introduced a novel method motivated by the generalized Landau-Zener theory which performs considerably better in our setup than the variational procedure, which is widely considered to be optimal.