In this talk I will present a measurement of the phase-space density distribution (PSDD) of ultracold 87Rb atoms performing 1D anomalous diffusion. The PSDD is imaged using a direct tomographic method based on Raman velocity selection. It reveals that the position-velocity correlation function Cxv(t) builds up on a timescale related to the initial conditions of the ensemble and then decays asymptotically as a power-law. We show that the decay follows a simple scaling theory involving the power-law asymptotic dynamics of position and velocity. The generality of this scaling theory is confirmed using Monte Carlo simulations of two distinct models of anomalous diffusion.
G. Afek, J. Coslovsky, A. Courvoisier, O. Livneh, and N. Davidson, Observing Power-Law Dynamics of Position-Velocity Correlation in Anomalous Diffusion, Phys. Rev. Lett. 119, 060602 (2017)