DETERMINATION OF THE FINE STRUCTURE CONSTANT WITH ATOM INTERFEROMETRY AND BLOCH OSCILLATIONS
We use Bloch oscillations to coherently transfer many photon momenta to atoms. Then we can measure accurately the recoil velocity ħk/m and deduce the fine structure constant α. The velocity variation due to Bloch oscillations is measured using atom interferometry. This method yields a value of the fine structure constant α-1 = 137.035 999 45 (62) with a relative uncertainty of about 4.5 × 10-9.