Preprint 60/2017

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

Wenchao Ma, Bin Chen, Ying Liu, Mengqi Wang, Xiangyu Ye, Fei Kong, Fazhan Shi, Shao-Ming Fei, and Jiangfeng Du

Contact the author: Please use for correspondence this email.
Submission date: 28. Aug. 2017
Pages: 8
published in: Physical review letters, 118 (2017), art-no. 180402 
DOI number (of the published article): 10.1103/PhysRevLett.118.180402
Download full preprint: PDF (1275 kB)

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 non-commuting observables. In this work, we study the preparation uncertainty for the angular momentum, especially for spin-12. 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√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.

02.07.2022, 02:18