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

被引：21
作者：
Afek, Gadi [1 ]
Coslovsky, Jonathan [1 ]
Courvoisier, Arnaud [1 ]
Livneh, Oz [1 ]
Davidson, Nir [1 ]
机构：
[1] Weizmann Inst Sci, Dept Phys Complex Syst, IL-76100 Rehovot, Israel
来源：
PHYSICAL REVIEW LETTERS | 2017年 / 119卷 / 06期
关键词：
RAMAN TRANSITIONS; WIGNER FUNCTION; HELIUM-ATOMS; LEVY WALKS; ENSEMBLE;
D O I：
10.1103/PhysRevLett.119.060602
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, we present a measurement of the phase-space density distribution (PSDD) of ultracold Rb-87 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 C-xv(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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