New Measurement System of Magnetic Near-Field With Multipolar Expansion Approach

Bréard, Arnaud; Tavernier, François; Li, Z.; Krähenbühl, Laurent

doi:10.1109/tmag.2015.2501024

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2017

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“…However, complementary to these tomographic reconstruction schemes for density matrices relying on Stern-Gerlach-type experiments, our scheme is based on projections of operators onto rotated axial tensor operators or experimentally accessible expectation values of transformed axial tensor operators. The measurement of spherical harmonics components of electromagnetic nearfield radiation using specifically designed loop antennas as sensors [57][58][59] is closely related to our interpretation of droplets as multipole potentials (see Sec. IV).…”

Section: Discussionmentioning

confidence: 99%

Wigner tomography of multispin quantum states

2017

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We study the tomography of multispin quantum states in the context of finite-dimensional Wigner representations. An arbitrary operator can be completely characterized and visualized using multiple shapes assembled from linear combinations of spherical harmonics [A. Garon, R. Zeier, and S. J. Glaser, Phys. Rev. A 91, 042122 (2015)]. We develop a general methodology to experimentally recover these shapes by measuring expectation values of rotated axial spherical tensor operators and provide an interpretation in terms of fictitious multipole potentials. Our approach is experimentally demonstrated for quantum systems consisting of up to three spins using nuclear magnetic resonance spectroscopy.Comment: v2: close to published versio

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Section: Discussionmentioning

confidence: 99%