Proof of the standard quantum limit for monitoring free-mass position

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.022118· OSTI ID:21448444

Kosugi, Seiji ^[1]

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1. Department of Food and Nutrition, Shukutoku Junior College, 6-36-4 Maenocho, Itabashi-ku, Tokyo 174-8631 (Japan)

The measurement result of the moved distance for a free mass m during the time {tau} between two position measurements cannot be predicted with uncertainty smaller than {radical}(({h_bar}/2{pi}){tau}/m). This is formulated as a standard quantum limit and it has been proven to always hold for the following position measurement: a probe is set in a prescribed position before the measurement. Just after the interaction of the mass with the probe, the probe position is measured, and using this value, the measurement results of the premeasurement and postmeasurement positions are estimated.

• OSTI ID: 21448444
• Journal Information: Physical Review. A, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevA.82.022118; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DISTANCE
MASS
MEASURING METHODS
PROBES
QUANTUM MECHANICS
QUANTUM STATES
UNCERTAINTY PRINCIPLE
MECHANICS