Mathematics – Probability
Scientific paper
Feb 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvl..60..385o&link_type=abstract
Physical Review Letters (ISSN 0031-9007), vol. 60, Feb. 1, 1988, p. 385-388.
Mathematics
Probability
54
Gravitational Waves, Interferometers, Position (Location), Quantum Theory, Hamiltonian Functions, Integral Equations, Mass, Probability Distribution Functions, Wave Functions
Scientific paper
A method of measuring free-mass position is proposed which breaks the standard quantum limit. An explicit form of the system-meter Hamiltonian is given, and it is shown that if the meter is prepared in an appropriately contractive state the measurements leave the free-mass in a contractive state and the uncertainty of the prediction for the next identical measurement decreases for a given duration to a desired extent. The probability distribution of the readouts is the same as the free-mass position distribution prior to the measurement.
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