Research Projects

The study of entanglement in quantum mechanics is closely linked to entropy, a fundamental concept in statistical mechanics and thermodynamics. Entanglement entropy (EE) measures entanglement between subsystems and can be ascribed to an operator like modular Hamiltonian (H). However, quantum field theories (QFT) have more subtle entanglement, as EE is ultraviolet divergent and requires more care. This project aims to address these fundamental issues in field theory, focusing on entanglement of subregions with complements and the study of H for arbitrary excited states. The researchers aim to generalize their results by studying the problem from different perspectives, such as path integral, and consider the entanglement structure of quantum gravity. This research direction offers a new perspective on dealing with continuum theories and associated von-Neumann algebras.