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Title: On noise-resolution uncertainty in quantum field theory
Contributor(s): Gureyev, Timur  (author)orcid ; Kozlov, Alexander (author)orcid ; Nesterets, Yakov  (author); Paganin, David M (author); Quiney, Harry M (author)
Publication Date: 2017
Open Access: Yes
DOI: 10.1038/s41598-017-04834-yOpen Access Link
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Abstract: An uncertainty inequality is presented that establishes a lower limit for the product of the variance of the time-averaged intensity of a mode of a quantized electromagnetic field and the degree of its spatial localization. The lower limit is determined by the vacuum fluctuations within the volume corresponding to the width of the mode. This result also leads to a generalized form of the Heisenberg uncertainty principle for boson fields in which the lower limit for the product of uncertainties in the spatial and momentum localization of a mode is equal to the product of Planck's constant and a dimensionless functional which reflects the joint signal-to-noise ratio of the position and momentum of vacuum fluctuations in the region of the phase space occupied by the mode. Experimental X-ray synchrotron measurements provide an initial verification of the proposed theory in the case of Poisson statistics.
Publication Type: Journal Article
Source of Publication: Scientific Reports, v.7, p. 1-7
Publisher: Nature Publishing Group
Place of Publication: United Kingdom
ISSN: 2045-2322
Field of Research (FOR): 020604 Quantum Optics
Socio-Economic Objective (SEO): 970102 Expanding Knowledge in the Physical Sciences
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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