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Optimal optical measurement of small displacements

Magnus T L Hsu, Vincent Delaubert, Ping Koy Lam1 and Warwick P Bowen

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We derive the quantum noise limit for the optical beam displacement of a TEM00 mode. Using a multimodal analysis, we show that the conventional split detection scheme for measuring beam displacement is non-optimal with ~80% efficiency. We propose a new displacement measurement scheme that is optimal for small beam displacement. This scheme utilizes a homodyne detection set-up that has a TEM10 mode local oscillator. We show that although the quantum noise limit to displacement measurement can be surpassed using squeezed light in appropriate spatial modes for both schemes, the TEM10 homodyning scheme outperforms split detection for all values of squeezing.


PACS

42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps

06.30.Bp Spatial dimensions (e.g., position, lengths, volume, angles, and displacements)

42.50.Dv Quantum state engineering and measurements

Subjects

Instrumentation and measurement

Optics, quantum optics and lasers

Dates

Issue 12 (December 2004)

Received 27 July 2004, accepted for publication 8 October 2004

Published 15 October 2004



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