Quantum temporal optics

In this proceeding, we expand upon our recent work on the temporal Aharonov-Bohm (AB) effect, focusing on the Joint Temporal Function (JSF) analysis to enhance the sensitivity and understanding of the system’s performance. In our original paper, we demonstrated the existence of a temporal analog of the Aharonov-Bohm effect using entangled photons and a temporal SU(1,1) interferometer. Here, we provide a more detailed exploration of the JSF, highlighting its role in improving signal-to-noise ratios (SNR) and its impact on measuring fast phase changes with enhanced temporal resolution. By leveraging the quantum properties of the system and utilizing the JSF between the signal and idler beams, we show that this approach allows for unprecedented sensitivity in detecting temporal phase shifts. This proceeding also discusses how the JSF contributes to the interferometer’s ability to resolve femtosecond dynamics and its potential applications for simulating space-time phenomena, including rotating black holes and gravitational frame-dragging. Our analysis offers deeper insights into the interplay between the quantum characteristics of the system and its utility for high-precision measurements in spatio-temporal dynamics.