Explore advanced concepts in quantum metrology through this 48-minute conference talk by James Thompson from CU Boulder. Delve into Hamiltonian engineering techniques applied to matter wave interferometers, covering topics such as Quantum Non-Demolition (QND) measurements, 1-axis twisting, 2-axis twisting, and Mossbauer-like collective recoil. Gain insights into the latest developments in precision quantum metrology and their applications in fundamental physics, including dark matter searches and gravitational wave detection. Discover unexpected connections between quantum metrology methods and diverse fields of physics, from optics to condensed matter and atomic physics. Recorded as part of the Frontiers of Quantum Metrology conference at the Kavli Institute for Theoretical Physics, this talk fosters cross-disciplinary collaboration and promotes new scientific discoveries in quantum technologies and fundamental physics studies.