Abstract
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{sub 6} coefficient as theoretical input. For the Rb{sup 87} triplet potential, the method reproduces the scattering length with an accuracy of 6%.
Buggle, Ch;
Leonard, J;
Klitzing, W von;
Walraven, J T.M.;
[1]
Van der Waals-Zeeman Institute of the University of Amsterdam, Valckenierstraat 65/67, 1018 XE (Netherlands)]
- FOM Institute for Atomic and Molecular Physics, Kruislaan 407, 1098 SJ Amsterdam (Netherlands)
Citation Formats
Buggle, Ch, Leonard, J, Klitzing, W von, Walraven, J T.M., and Van der Waals-Zeeman Institute of the University of Amsterdam, Valckenierstraat 65/67, 1018 XE (Netherlands)].
Interferometric determination of the s and d-wave scattering amplitudes in Rb{sup 87}.
United States: N. p.,
2004.
Web.
doi:10.1103/PhysRevLett.93.173202.
Buggle, Ch, Leonard, J, Klitzing, W von, Walraven, J T.M., & Van der Waals-Zeeman Institute of the University of Amsterdam, Valckenierstraat 65/67, 1018 XE (Netherlands)].
Interferometric determination of the s and d-wave scattering amplitudes in Rb{sup 87}.
United States.
https://doi.org/10.1103/PhysRevLett.93.173202
Buggle, Ch, Leonard, J, Klitzing, W von, Walraven, J T.M., and Van der Waals-Zeeman Institute of the University of Amsterdam, Valckenierstraat 65/67, 1018 XE (Netherlands)].
2004.
"Interferometric determination of the s and d-wave scattering amplitudes in Rb{sup 87}."
United States.
https://doi.org/10.1103/PhysRevLett.93.173202.
@misc{etde_20619254,
title = {Interferometric determination of the s and d-wave scattering amplitudes in Rb{sup 87}}
author = {Buggle, Ch, Leonard, J, Klitzing, W von, Walraven, J T.M., and Van der Waals-Zeeman Institute of the University of Amsterdam, Valckenierstraat 65/67, 1018 XE (Netherlands)]}
abstractNote = {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{sub 6} coefficient as theoretical input. For the Rb{sup 87} triplet potential, the method reproduces the scattering length with an accuracy of 6%.}
doi = {10.1103/PhysRevLett.93.173202}
journal = []
issue = {17}
volume = {93}
journal type = {AC}
place = {United States}
year = {2004}
month = {Oct}
}
title = {Interferometric determination of the s and d-wave scattering amplitudes in Rb{sup 87}}
author = {Buggle, Ch, Leonard, J, Klitzing, W von, Walraven, J T.M., and Van der Waals-Zeeman Institute of the University of Amsterdam, Valckenierstraat 65/67, 1018 XE (Netherlands)]}
abstractNote = {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{sub 6} coefficient as theoretical input. For the Rb{sup 87} triplet potential, the method reproduces the scattering length with an accuracy of 6%.}
doi = {10.1103/PhysRevLett.93.173202}
journal = []
issue = {17}
volume = {93}
journal type = {AC}
place = {United States}
year = {2004}
month = {Oct}
}