Nonlinear Quantum Metrology for Fundamental Physics

In order to make fundamental physics discoveries at the laboratory scale, it is vital to upgrade our ability to make precision measurements of nature. In particular, the types of measurements that we believe are important for studying quantum mechanics and gravity, require developing a more advanced quantum measurement technique than what we currently have. This proposal aims to advance the understanding of quantum sensing through theoretical analysis and simulations. We focus on how coherent quantum control can be applied to enhance the precision and speed of detecting transient signals, with the ultimate goal of shedding light on quantum gravity phenomena. Our work will involve exploring the potential of using advanced quantum control techniques. We aim to understand how dynamically tuning the Hamiltonian of a quantum system can optimize the extraction of quantum information from transient signals. We will consider a laser interferometer as a concrete experimental platform and explore how real-time coherent control can dynamically tune the Hamiltonian of this quantum sensor, in order to maximize the extraction of quantum information as a function of time. This project is aimed at ultimately solving the mysteries of quantum gravity through advanced theoretical studies in quantum sensing. By focusing on coherent quantum control and real-time feedback mechanisms, we aim to achieve breakthroughs in sensitivity and understanding fundamental physics.