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Quantum mechanical noise in coherent-state and squeezed-state Michelson interferometers

Ohad Assaf and Yacob Ben-Aryeh

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In the present study we extend and generalize previous results for coherent-state and squeezed-state Michelson interferometer quantum mechanical uncertainties (or fluctuations), which are commonly referred to as `quantum noise'. The calculation of photon counting (PC) fluctuations in the squeezed-state interferometer is extended to fourth-order correlation functions used as the measured signal. We also generalize a `unified model' for treating both PC and radiation pressure fluctuations in the coherent-state interferometer, by using mathematical methods which apply to Kerr-type interactions. The results are more general than those reported previously in two ways. First, we obtain exact expressions, which lead to previous results under certain approximations. Second, we deal with cases in which the responses of the two mirrors to radiation pressure are not equal.


PACS

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

42.50.Ar Photon statistics and coherence theory

42.50.Dv Quantum state engineering and measurements

04.30.-w Gravitational waves

07.60.Ly Interferometers

Subjects

Instrumentation and measurement

Optics, quantum optics and lasers

Gravitation and cosmology

Dates

Issue 1 (February 2002)

Received 2 November 2001, in final form 12 December 2001

Published 14 January 2002



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