Precision measurements in gravitational physics with cold atom interferometry

I will describe experiments we are conducting for precision tests of gravitational physics using cold atom interferometry. In particular, I will report on the measurement of the Newtonian gravitational constant [1] and of the gravity-field curvature [2] with a Rb Raman interferometer, and on experiments based on Bloch oscillations of Sr atoms in optical lattices for gravity measurements at small spatial scales [3] and for testing the Einstein equivalence principle [4]. Future prospects for experiments in space will be also discussed [5]. \\[4pt] [1] G. Rosi, F. Sorrentino, L. Cacciapuoti, M. Prevedelli, G. M. Tino, \textit{Precision Measurement of the Newtonian Gravitational Constant Using Cold Atoms}, Nature 510, 518 (2014).\\[0pt] [2] G. Rosi, L. Cacciapuoti, F. Sorrentino, M. Menchetti, M. Prevedelli, G. M. Tino, \textit{Measurement of the gravity-field curvature by atom interferometry}, Phys. Rev. Lett. 114, 013001 (2015)\\[0pt] [3] F. Sorrentino, A. Alberti, G. Ferrari, V. V. Ivanov, N. Poli, M. Schioppo, G. M. Tino, \textit{Quantum sensor for atom-surface interactions below 10 }$\mu m$, Phys. Rev. A 79, 013409 (2009).\\[0pt] [4] M.G. Tarallo, T. Mazzoni, N. Poli, D.V. Sutyrin, X. Zhang, G. M. Tino, \textit{Test of Einstein Equivalence Principle for 0-Spin and Half-Integer-Spin Atoms: Search for Spin-Gravity Coupling Effects}, Phys. Rev. Lett. 113, 023005 (2014).\\[0pt] [5] G. M. Tino et al., \textit{Precision Gravity Tests with Atom Interferometry in Space}, Nuclear Physics B (Proc. Suppl.) 243--244, 203 (2013).