Quantum statistics have a profound impact on the properties of systems composed of identical particles. At the most elementary level, Bose and Fermi quantum statistics dier in the exchange phase, either 0 or π, which the wavefunction acquires when two identical particles are exchanged. In this Letter, we demonstrate that the exchange phase can be directly probed with a pair of massive particles by physically exchanging their positions. We present two protocols where the particles always remain spatially well separated, thus ensuring that the exchange contribution to their interaction energy is negligible and that the detected signal can only be attributed to the exchange symmetry of the wavefunction. We discuss possible implementations with a pair of trapped atoms or ions.

}, Author = {Roos, C. F. AND Alberti, A. AND Meschede, D. AND Hauke, P. AND Häffner, H.}, Journal = {arXiv:1706.04231 [quant-ph] (accepted in Phys. Rev. Lett.)}, Pages = {}, Title = {{Revealing quantum statistics with a pair of distant atoms}}, Volume = {}, Year = {2017} }