Change search
ReferencesLink to record
Permanent link

Direct link
SU(2) uncertainty limits
KTH, School of Engineering Sciences (SCI), Applied Physics, Quantum Electronics and Quantum Optics, QEO.
KTH, School of Engineering Sciences (SCI), Applied Physics, Quantum Electronics and Quantum Optics, QEO.
2016 (English)In: PHYSICAL REVIEW A, ISSN 2469-9926, Vol. 93, no 5, 052101Article in journal (Refereed) PublishedText
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 Psychological Association (APA), 2016. Vol. 93, no 5, 052101
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-188065DOI: 10.1103/PhysRevA.93.052101ISI: 000375523600001ScopusID: 2-s2.0-84964912088OAI: oai:DiVA.org:kth-188065DiVA: diva2:943021
Note

QC 20160627

Available from: 2016-06-27 Created: 2016-06-03 Last updated: 2016-06-29Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Shabbir, SarooshBjork, Gunnar
By organisation
Quantum Electronics and Quantum Optics, QEO
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 7 hits
ReferencesLink to record
Permanent link

Direct link