Executive Summary : | The project aims to combine the general theory of relativity (GTR) and quantum field theory (QFT) to resolve divergences and singularities in QFT and GTR. Quantum gravity (QG) is a new formulation that predicts a minimum accessible length scale between two spacetime points. The study aims to understand these quantum gravity corrections through semi-classical gravity predictions and quantum entanglement-related measures and entanglement harvesting. Quantum entanglement is a phenomenon that distinguishes quantum events from classical ones and is used in quantum information-related tasks like quantum communication and cryptography. The study of entanglement measures will help identify modifications predicted by quantum gravity, particularly due to the conception of a minimum length scale. The project aims to understand the radiative process of entangled Unruh-DeWitt detectors in a spacetime with a quantum gravity corrected propagator, the effects of these corrections on the radiative process of atoms, and the role of quantum gravity corrections in entanglement harvesting from a system. The harvested entanglement may be used in other quantum information-related works like quantum teleportation. Additionally, the project aims to understand the effects of quantum gravitational corrections in the area law of field-theoretic entanglement entropy, which is predicted to be proportional to its event horizon's surface area and perceived through the entanglement entropy of the background quantum field. |