Executive Summary : | Ultracold many-body systems are excellent platforms for quantum information processing and simulating quantum systems. Neutral ultracold atoms, excited to Rydberg states, offer advantages such as strong dipole-dipole interactions over large distances and high lifetimes. The project aims to explore the use of Rydberg atoms for efficient quantum information processing by establishing a theoretical framework for stable multi-particle entanglement using Rydberg blockade and system dissipation. The project also explores the potential of long-range interactions among bosons in optical lattices, with ultracold bosons dressed with molecular bound states in Rydberg interaction potentials serving as the perfect platform for implementing such interactions. The phase diagram for a system of Rydberg atoms in an optical lattice will be constructed, both in a pure system and in the presence of disorder. The project also explores the Rydberg atom platform as a quantum simulator for strongly correlated systems, with a focus on quantum simulating gauge theories. The aim is to simulate 1-dimensional gauge theories and plaquette terms in 2-dimensional gauge theories using Rydberg atoms. The final goal is to simulate matter-gauge interactions in two or higher dimensional non-Abelian gauge field theories with a combination of trapped atoms, including Rydberg-excited ones. The project aims to bring out interesting new results with significant applicability in technological fields. |