Quantum limit for successive position measurements

Physics

Scientific paper

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Gravitational Wave Antennas, Position (Location), Quantum Mechanics, Formalism, Laser Interferometry, Spatial Dimensions

Scientific paper

The implications of the nonidealized statistical-mechanics description of multiple-time quantum measurements developed by Partovi and Blankenbecler (1986) are explored analytically, considering the case of pairs of consecutive position measurements on free particles (as in the detection of gravitational waves by laser interferometry). A quantum limit which depends on the position resolution of the measuring device and the time interval between the measurements is derived, and the range of values this limit could assume is shown to include the 'standard quantum limit' discussed by Braginskii and Vorontsov (1974), Caves et al. (1980 and 1985), and Yuen (1983 and 1984).

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