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Optica Publishing Group
  • Quantum Electronics and Laser Science Conference
  • OSA Technical Digest (Optica Publishing Group, 1995),
  • paper QTuG14

Quantum measurement of force with an error less than the standard quantum limit

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Abstract

Under continuous coordinate measurement, the back-action noise of the displacement transducer is responsible for the limit of sensitivity known as the standard quantum limit (SQL): for a force F = FS sin(ωFt) acting on a free mass m during time tF that is a multiple of 2πF, SQL is equal to FSQL(mF2/tF)1/2. We show that for the simplest optical transducer (Fig. 1) the signal force can be measured with an error less than SQL, i.e., ΔFSFSQL, if one measures not the phase but the quadrature amplitude B of the reflected wave.

© 1995 Optical Society of America

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