Characterization of quantum angular-momentum fluctuations via principal components

Details Characterization of quantum angular-momentum fluctuations via principal components Characterization of quantum angular-momentum fluctuations via principal components

2007-10-25

arxiv.org/abs/0710.4699v2

Phys. Rev. A 77, 022105 (2008)

Physics

Quantum Physics

10 pages, Two column. New section II and some clarifying comments

Scientific paper

10.1103/PhysRevA.77.022105

We elaborate an approach to quantum fluctuations of angular momentum based on the diagonalization of the covariance matrix in two versions: real symmetric and complex Hermitian. At difference with previous approaches this is SU(2) invariant and avoids any difficulty caused by nontrivial commutators. Meaningful uncertainty relations are derived which are nontrivial even for vanishing mean angular momentum. We apply this approach to some relevant states.

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