Other
Scientific paper
Aug 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phrvl..51..719y&link_type=abstract
Physical Review Letters (ISSN 0031-9007), vol. 51, Aug. 29, 1983, p. 719-722. Navy-supported research.
Other
105
Gravitational Waves, Interferometers, Quantum Mechanics, Wave Packets, Coherent Radiation, Radiation Distribution, Wave Functions
Scientific paper
The theoretical constraint placed on the resolution of the gravitational-wave interferometer (GWI) by the 'standard quantum limit' (SQL) is investigated analytically. The conventional expressions for minimum-uncertainty wave packets in masses are generalized using two-photon or twisted coherent states (TCS) of the radiation field. It is shown that freely evolving TCS with xi greater than 0 are contractive, with position uncertainty narrowed to a minimum equal to 1/(16 omega eta). From this it is inferred that the SQL is breachable: the positions of a free mass can be monitored without suffering any back action from the mass momentum and without violating the criteria of quantum demolition as originally defined by Braginskii and Vorontsov (1974). A thorough quantum-mechanical study of the GWI is considered necessary to resolve differences among these conclusions and those of other recent analyses.
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