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Ultimate quantum limits for resolution of beam displacements
Authors:SM Barnett  C Fabre  A Ma?tre
Institution:(1) Department of Physics, University of Strathclyde, Glasgow G4 0NG, UK, GB;(2) Laboratoire Kastler Brossel, Université Pierre et Marie Curie, Case 74, 75252 Paris Cedex 05, France, FR
Abstract:We compare two high sensitivity techniques which are used to measure very small displacements of physical objects by optical techniques: the interferometric devices, measuring longitudinal phase shifts, and the devices used to monitor transverse displacement of light beams. We detail the differences and the similarities for the quantum limits on the resolution of both systems. In both cases squeezed light can be used to resolve beyond the standard quantum limit and number correlated states allow us to reach the “Heisenberg” limit. Received 12 September 2002 Published online 21 January 2003
Keywords:PACS  42  50  -p Quantum optics –  42  30  -d Imaging and optical processing –  42  25  Hz Interference –  42  50  Ar Photon statistics          and coherence theory –  42  50  Dv Nonclassical field states  squeezed  antibunched  and sub-Poissonian states  operational definitions          of the phase of the field  phase measurements –  42  50  Lc Quantum fluctuations  quantum noise  and quantum jumps
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