Enhanced weak-value amplification via photon recycling

Abstract

In a quantum-noise limited system, weak-value amplification using post-selection normally does not produce more sensitive measurements than standard methods for ideal detectors: the increased weak value is compensated by the reduced power due to the small post-selection probability. Here we experimentally demonstrate recycled weak-value measurements using a pulsed light source and optical switch to enable nearly deterministic weak-value amplification of a mirror tilt. Using photon counting detectors, we demonstrate a signal improvement by a factor of $4.4\pm 0.2$ and a signal-to-noise ratio improvement of $2.10\pm 0.06$, compared to a single-pass weak-value experiment, and also compared to a conventional direct measurement of the tilt. The signal-to-noise ratio improvement could reach around 6 for the parameters of this experiment, assuming lower loss elements.

arXiv comment6 pages, 3 figures

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• Progress and Perspectives on Weak-value Amplification
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• Optimal Settings For Amplification And Estimation Of Small Effects In Postselected Ensembles
• Sequential unsharp measurement of photon polarization
• Quality analysis for precision metrology based on joint weak measurements without discarding readout data
• Weak-Value Amplification for Longitudinal Phase Measurements Approaching the Shot-Noise Limit Characterized by Allan Variance
• Mitigating Source and Detection Noises in Auto-correlative Weak-Value Amplification
• No-go result for quantum postselection measurements of rank-m degenerate subspace