Tomographic reconstruction of the Wigner function on the Bloch sphere

Schmied, Roman and Treutlein, Philipp. (2011) Tomographic reconstruction of the Wigner function on the Bloch sphere. New journal of physics, 13. 065019.

PDF - Published Version
Available under License CC BY (Attribution).


Official URL: http://edoc.unibas.ch/dok/A6002527

Downloads: Statistics Overview


We present a filtered backprojection algorithm for reconstructing the Wigner function of a system of large angular momentum j from Stern-Gerlach-type measurements. Our method is advantageous over the full determination of the density matrix in that it is insensitive to experimental fluctuations in j, and allows for a natural elimination of high-frequency noise in the Wigner function by taking into account the experimental uncertainties in the determination of j, its projection m, and the quantization axis orientation. No data binning and no arbitrary smoothing parameters are necessary in this reconstruction. Using recently published data [Riedel et al., Nature 464:1170 (2010)] we reconstruct the Wigner function of a spin-squeezed state of a Bose-Einstein condensate of about 1250 atoms, demonstrating that measurements along quantization axes lying in a single plane are sufficient for performing this tomographic reconstruction. Our method does not guarantee positivity of the reconstructed density matrix in the presence of experimental noise, which is a general limitation of backprojection algorithms.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Experimentelle Nanophysik (Treutlein)
UniBasel Contributors:Treutlein, Philipp and Schmied, Roman
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:IOP Publishing
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
edoc DOI:
Last Modified:05 Apr 2018 15:13
Deposited On:11 Oct 2012 15:24

Repository Staff Only: item control page