Numerical Simulations of Quantum Enhanced Interferometry Readout*

The Rubidium Quantum sensing (RbQ) experiment uses a quantum enhanced measurement system to increase the sensitivity of the GQuEST experiment, which aims to detect quantum gravitational effects through phase shifts in a tabletop interferometer. To support the development of RBQ, I constructed quantum-optical simulations to explore atom-light interactions in cavity systems. The simulation framework investigates how control pulse timing, frequency, and amplitude affect signal detection, and calculates the Quantum Fisher Information (QFI) to identify which experimental parameters, such as cavity loss or coupling strength, most impact sensitivity. An application is a Λ-type rubidium atom transition between three hyperfine states - the maximum expectation value in the final state is found to be 0.866 where the frequency of the two transitions are optimal at 1.616 GHz and 0.970 GHz with a timing difference of 0.389 ms. These results inform the design of RbQ and provide a foundation for optimizing quantum sensing in future gravitational wave detectors, where simulation-driven tuning can improve precision and mitigate the effects of noise.