Power-recycled weak-value-based metrology

Abstract

We improve the precision of the interferometric weak-value-based beam deflection measurement by introducing a power recycling mirror, creating a resonant cavity. This results in \emph{all} the light exiting to the detector with a large deflection, thus eliminating the inefficiency of the rare postselection. The signal-to-noise ratio of the deflection is itself magnified by the weak value. We discuss ways to realize this proposal, using a transverse beam filter and different cavity designs.

5 pages, 1 figure

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• Progress and Perspectives on Weak-value Amplification
• Theory of Compression Channels for Postselected Quantum Metrology
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• Gravitational sensing with weak value based optical sensors
• Enhanced on-chip frequency measurement using weak value amplification
• Weak Particle Presence
• The Geometry of Qubit Weak Values
• Multiparameter quantum metrology with postselection measurements
• The Informational Observer in Relational Quantum Mechanics