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

Observing Power-Law Dynamics of Position-Velocity Correlation in Anomalous Diffusion 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Letters American Physical Society (APS)

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

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

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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Publisher
American Physical Society (APS)
Copyright
Copyright © © 2017 American Physical Society
ISSN
0031-9007
eISSN
1079-7114
D.O.I.
10.1103/PhysRevLett.119.060602
Publisher site
See Article on Publisher Site

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.

Journal

Physical Review LettersAmerican Physical Society (APS)

Published: Aug 11, 2017

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