Observing Power-Law Dynamics of Position-Velocity Correlation in Anomalous Diffusion

Gadi Afek, Jonathan Coslovsky, Arnaud Courvoisier, Oz Livneh, Nir Davidson

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


In this Letter, we present a measurement of the phase-space density distribution (PSDD) of ultracold Rb87 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 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.

Original languageEnglish
Article number060602
JournalPhysical Review Letters
Issue number6
StatePublished - 11 Aug 2017
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017 American Physical Society.


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