Interferometric determination of the s- and d-wave scattering amplitudes in $^{87}$Rb

Details Interferometric determination of the s- and d-wave scattering amplitudes in $^{87}$Rb Interferometric determination of the s- and d-wave scattering amplitudes in $^{87}$Rb

2004-06-04

arxiv.org/abs/cond-mat/0406093v2

Phys. Rev. Lett. 93, 173202 (2004)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.93.173202

We demonstrate an interference method to determine the low-energy elastic scattering amplitudes of a quantum gas. We linearly accelerate two ultracold atomic clouds up to energies of 1.2 mK and observe the collision halo by direct imaging in free space. From the interference between $s$- and $d$- partial waves in the differential scattering pattern we extract the corresponding phase shifts. The method does not require knowledge of the atomic density. This allows us to infer accurate values for the $s$- and d-wave scattering amplitudes from the zero-energy limit up to the first Ramsauer minimum using only the Van der Waals $C_{6}$ coefficient as theoretical input. For the $^{87}$Rb triplet potential, the method reproduces the scattering length with an accuracy of 6%.

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