期刊
PHYSICAL REVIEW LETTERS
卷 108, 期 23, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.108.230602
关键词
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资金
- Israel Science Foundation
Recently, anomalous superdiffusion of ultracold Rb-87 atoms in an optical lattice has been observed along with a fat-tailed, Levy type, spatial distribution. The anomalous exponents were found to depend on the depth of the optical potential. We find, within the framework of the semiclassical theory of Sisyphus cooling, three distinct phases of the dynamics as the optical potential depth is lowered: normal diffusion; Levy diffusion; and x similar to t(3/2) scaling, the latter related to Obukhov's model (1959) of turbulence. The process can be formulated as a Levy walk, with strong correlations between the length and duration of the excursions. We derive a fractional diffusion equation describing the atomic cloud, and the corresponding anomalous diffusion coefficient.
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