Enhanced Weak-Value Amplification via Photon Recycling

In a quantum-noise limited system, weak-value amplification using postselection normally does not produce more sensitive measurements than standard methods for ideal detectors: the increased weak value is compensated by reduced power due to small probability. Here, we experimentally demonstrate recycled pulsed light source and optical switch enable nearly deterministic of mirror tilt. Using photon counting detectors, signal improvement factor $4.4\ifmmode\pm\else\textpm\fi{}0.2$ signal-to-noise ratio $2.10\ifmmode\pm\else\textpm\fi{}0.06$, compared single-pass experiment, also conventional direct measurement The could reach around six parameters this assuming lower loss elements.