Determination of the fine structure constant with atom interferometry   and Bloch oscillations
  We use Bloch oscillations to transfer coherently many photon momenta to atoms. Then we can measure accurately the recoil velocity $\hbar k/m$ and deduce the fine structure constant $\alpha$. The velocity variation due to Bloch oscillations is measured using atom interferometry. This method yields to a value of the fine structure constant $\alpha^{-1}= 137.035 999 45 (62)$ with a relative uncertainty of about $4.5 \times 10^{-9}$. 
Malo Cadoret (LKB - Jussieu), Estefania De Mirandes (LKB - Jussieu),   Pierre Clad\'e (LKB - Jussieu), Catherine Schwob (LKB...