Experimental Demonstration of Uncertainty Relations for the Triple Components of Angular Momentum

Physical Review Letters
Wenchao MaJiangfeng Du

Abstract

The uncertainty principle is considered to be one of the most striking features in quantum mechanics. In the textbook literature, uncertainty relations usually refer to the preparation uncertainty which imposes a limitation on the spread of measurement outcomes for a pair of noncommuting observables. In this work, we study the preparation uncertainty for the angular momentum, especially for spin-1/2. We derive uncertainty relations encompassing the triple components of angular momentum and show that, compared with the relations involving only two components, a triple constant 2/sqrt[3] often arises. Intriguingly, this constant is the same for the position and momentum case. Experimental verification is carried out on a single spin in diamond, and the results confirm the triple constant in a wide range of experimental parameters.

References

May 15, 1987·Physical Review. D·K Kraus
Mar 21, 1988·Physical Review Letters·H Maassen, J B Uffink
Nov 5, 2013·Physical Review Letters·Paul BuschReinhard F Werner
Nov 28, 2013·Annual Review of Physical Chemistry·Romana SchirhaglChristian L Degen
Jan 31, 2014·Physical Review Letters·Shmuel FriedlandGilad Gour
Mar 4, 2014·Physical Review Letters·Francesco BuscemiMark M Wilde
Mar 4, 2014·Physical Review Letters·Xing RongJiangfeng Du
Jan 24, 2015·Physical Review Letters·Lorenzo Maccone, Arun K Pati
Aug 4, 2015·Scientific Reports·Jun-Li Li, Cong-Feng Qiao
Sep 16, 2015·Scientific Reports·Bin Chen, Shao-Ming Fei
Jul 6, 2016·Journal of Magnetic Resonance·Jörg Wrachtrup, Amit Finkler

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