Quantum Phases Beyond Classical Shadows: A New Framework for Gravitational Wave Effects

In this talk, I show how low-frequency gravitational waves can leave purely quantum fingerprints in mesoscopic optomechanical systems. Unlike classical or Berry phases, these are genuinely quantum, with no classical analogue. The waves couple to a tiny mechanical mirror, generating unique phase shifts in its quantum state. I propose a Ramsey-type interferometer where the mirror becomes entangled with photon number states, enabling a direct readout of the gravitational-wave–induced quantum phase. This opens a new quantum route to probe low-frequency gravitational waves, beyond conventional strain-based detection.