Observation of local temporal correlations in trapped quantum gases

We measure the temporal pair correlation function of a 3-dimensional trapped gas of bosons above and below the critical temperature for Bose-Einstein condensation. The measurement is performed in situ using a local, time-resolved single-atom sensitive probing technique, based on scanning electron microscopy. Third and fourth order correlation functions are also extracted from the same data. We futher extend this diagnostics to samples of few 1-dimensional tubes of ultracold bosons in the quasi-condensate and strongly interacting regimes, obtaining, in the second case, clear antibunching signal as a consequence of interaction induced ``fermionization.'' Our results promote temporal correlations as new observables to study the dynamical evolution of ultracold quantum gases.