Interferometric measurement of interhyperfine scattering lengths in 87Rb
Abstract
We present interferometeric measurements of the f =1 to f =2 interhyperfine scattering lengths in a single-domain spinor Bose-Einstein condensate of 87Rb. The interhyperfine interaction leads to a strong and state-dependent modification of the spin-mixing dynamics with respect to a noninteracting description. We employ hyperfine-specific Faraday-rotation probing to reveal the evolution of the transverse magnetization in each hyperfine manifold for different state preparations, and a comagnetometer strategy to cancel laboratory magnetic noise. The method allows precise determination of interhyperfine scattering length differences, calibrated to intrahyperfine scattering length differences. We report (a3(12 )-a2(12 )) /(a2(1 )-a0(1 )) =-1.27 (15 ) and (a1(12 )-a2(12 )) /(a2(1 )-a0(1 )) =-1.31 (13 ) , limited by atom number uncertainty. With achievable control of atom number, we estimate precisions of ≈0.3 % should be possible with this technique.
- Publication:
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Physical Review A
- Pub Date:
- September 2019
- DOI:
- 10.1103/PhysRevA.100.032704
- arXiv:
- arXiv:1904.07617
- Bibcode:
- 2019PhRvA.100c2704G
- Keywords:
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- Physics - Atomic Physics
- E-Print:
- Phys. Rev. A 100, 032704 (2019)