Ultrasensitive Inverse Weak-Value Tilt Meter

Abstract

We present an interferometric technique for measuring ultra-small tilts. The information of a tilt in one of the mirrors of a modified Sagnac interferometer is carried by the phase difference between the counter propagating laser beams. Using a small misalignment of the interferometer, orthogonal to the plane of the tilt, a bimodal (or two-fringe) pattern is induced in the beam's transverse power distribution. By tracking the mean of such a distribution, using a split detector, a sensitive measurement of the phase is performed. With 1.2 mW of continuous-wave laser power, the technique has a shot noise limited sensitivity of 56 frad/$\sqrt{\mbox{Hz}}$, and a measured noise floor of 200 frad/$\sqrt{\mbox{Hz}}$ for tilt frequencies above 2 Hz. A tilt of 200 frad corresponds to a differential displacement of 4.0 fm in our setup. The novelty of the protocol relies on signal amplification due to the misalignment, and on good performance at low frequencies. A noise floor of about 70 prad/$\sqrt{\mbox{Hz}}$ is observed between 2 and 100 mHz.

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• Investigating the Effects of the Interaction Intensity in a Weak Measurement
• Quantum-Enhanced Sensing from Hyper-Entanglement
• Progress and Perspectives on Weak-value Amplification
• Noise suppression in inverse weak value based phase detection
• Gravitational sensing with weak value based optical sensors
• Enhanced on-chip frequency measurement using weak value amplification
• 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