Quantum-mechanical noise in an interferometer: Intrinsic uncertainty versus measurement uncertainty

Details Quantum-mechanical noise in an interferometer: Intrinsic uncertainty versus measurement uncertainty Quantum-mechanical noise in an interferometer: Intrinsic uncertainty versus measurement uncertainty

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..35.3002n&link_type=abstract

Physical Review D (Particles and Fields), Volume 35, Issue 10, 15 May 1987, pp.3002-3007

Physics

3

Measurement And Error Theory, Interferometers

Scientific paper

In many quantum-mechanical measurements, the total uncertainties (σ) are greater than or equal to the intrinsic uncertainties (σI) of the quantities to be measured; the differences are due to the particular measurement processes chosen. In each of these situations, a measurement uncertainty σM can be defined as σM=(σ2-σI 2)1/2. A question to ask is whether σM is independent of the initial quantum state of the system to be measured, i.e., whether σM is only dependent on the measurement process chosen. For a Michelson interferometer, we extend Loudon's model to show that in the model σM is only dependent on the measurement process chosen for the case with small radiation-pressure fluctuation. When the intensity and radiation-pressure fluctuation are high, there are cross-correlated terms. Some of these terms are negative and give hope to the possibility of uncertainty reductions for appropriate schemes.

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