Minimum uncertainty measurements of angle and angular momentum

Details Minimum uncertainty measurements of angle and angular momentum Minimum uncertainty measurements of angle and angular momentum

2006-05-16

arxiv.org/abs/quant-ph/0605137v1

Phys. Rev. Lett. 97, 243601 (2006)

Physics

Quantum Physics

4 pages, two eps color figures. Submitted for publication

Scientific paper

10.1103/PhysRevLett.97.243601

The uncertainty relations for angle and angular momentum are revisited. We use the exponential of the angle instead of the angle itself and adopt dispersion as a natural measure of resolution. We find states that minimize the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum. These states are described in terms of Mathieu wave functions and may be approximated by a von Mises distribution, which is the closest analogous of the Gaussian on the unit circle. We report experimental results using beam optics that confirm our predictions.

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