Near Resonant Spatial Images of Confined Bose-Einstein Condensates in the '4D' Magnetic Bottle
Lene Vestergaard Hau, B.D. Busch, Chien Liu, Zachary Dutton, Michael, M. Burns, and J.A. Golovchenko

TL;DR
This paper reports precise spatial density measurements of sodium Bose-Einstein condensates in a novel '4D' magnetic bottle, confirming theoretical models and enabling high-precision interaction studies.
Contribution
It introduces a new '4D' magnetic bottle for Bose-Einstein condensates and demonstrates high-precision imaging and measurement techniques.
Findings
Thomas-Fermi surface determined to better than 1%
Excellent agreement with mean-field theory
High-precision measurement of atomic interactions
Abstract
We present quantitative measurements of the spatial density profile of Bose-Einstein condensates of sodium atoms confined in a new '4D' magnetic bottle. The condensates are imaged in transmission with near resonant laser light. We demonstrate that the Thomas-Fermi surface of a condensate can be determined to better than 1%. More generally, we obtain excellent agreement with mean-field theory. We conclude that precision measurements of atomic scattering lengths and interactions between phase separated cold atoms in a harmonic trap can be measured with high precision using this method.
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