Phys. Rev. Lett. 57, 2891–2893 (1986)Quantum Limit for Successive Position MeasurementsReceived 12 May 1986; published in the issue dated 8 December 1986 We apply a formalism for the description of multitime measurements to the derivation of the quantum limit on the precision with which a pair of successive position measurements can be performed on a free mass under conditions that would be optimal for detecting very weak forces. The result depends on the position resolution of the measuring device as well as on the time interval between the two measurements, and it spans a range of values which include a presently controversial result known as the standard quantum limit; any controversy is thereby resolved. © 1986 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.57.2891
DOI:
10.1103/PhysRevLett.57.2891
PACS:
03.65.Bz, 04.80.+z, 06.30.Bp
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