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

Gadi Afek, Jonathan Coslovsky, Arnaud Courvoisier, Oz Livneh, and Nir Davidson
Phys. Rev. Lett. 119, 060602 – Published 8 August 2017
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Abstract

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.

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  • Received 30 April 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.060602

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalStatistical Physics & Thermodynamics

Authors & Affiliations

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

  • Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel

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Issue

Vol. 119, Iss. 6 — 11 August 2017

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