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SU(2) uncertainty limits
KTH, School of Engineering Sciences (SCI), Applied Physics.
KTH, School of Engineering Sciences (SCI), Applied Physics.
2016 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 93, no 5, article id 052101Article in journal (Refereed) Published
Abstract [en]

Although progress has been made recently in defining nontrivial uncertainty limits for the SU(2) group, a description of the intermediate states bound by these limits remains lacking. In this paper we enumerate possible uncertainty relations for the SU(2) group that involve all three observables and that are, moreover, invariant under SU(2) transformations.We demonstrate that these relations however, even taken as a group, do not provide sharp, saturable bounds. To find sharp bounds, we systematically calculate the variance of the SU(2) operators for all pure states belonging to the N = 2 and N = 3 polarization excitation manifold (corresponding to spin 1 and spin 3/2). Lastly, and perhaps counter to expectation, we note that even pure states can reach the maximum uncertainty limit.

Place, publisher, year, edition, pages
American Physical Society, 2016. Vol. 93, no 5, article id 052101
National Category
Atom and Molecular Physics and Optics
Research subject
Physics
Identifiers
URN: urn:nbn:se:kth:diva-206219DOI: 10.1103/PhysRevA.93.052101OAI: oai:DiVA.org:kth-206219DiVA, id: diva2:1091976
Note

QC 20170503

Available from: 2017-04-28 Created: 2017-04-28 Last updated: 2017-05-03Bibliographically approved

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Publisher's full texthttps://doi.org/10.1103/PhysRevA.93.052101

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