Abstract
In the pursuit of precision within quantum metrology, our concerted efforts have focused on refining atomic sensors, crucial for both fundamental and applied physics. This seminar highlights our research aimed at enhancing sensor precision through the creation and use of highly entangled many-particle states, facilitated by cavity-mediated interactions, bringing us closer to quantum mechanics' ultimate limits. We have achieved nearly unitary evolution in systems comprising hundreds of particles, enabled by the Signal Amplification using a Time-reversed Interaction (SATIN) protocol for readout, thus significantly improving the use of entangled states in quantum metrology. Employing this protocol, we've observed exponential increases in metrological gain and out-of-time-order correlators, affirming the synergy between quantum metrology and information scrambling and underscoring the practical utility of rapid scrambling dynamics. Furthermore, Raman Sideband Cooling has been instrumental in enhancing atom-photon cooperativity within optical cavities, achieved through the self-organization of atoms into optimally coupled positions, thereby advancing quantum metrology applications.