Abstract
In this Letter, we present a measurement of the phase-space density distribution (PSDD) of ultracold 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 builds up on a time scale 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.
- Received 30 April 2017
DOI:https://doi.org/10.1103/PhysRevLett.119.060602
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