Anomalous spatial diffusion and multifractality in optical lattices

Andreas Dechant, Eric Lutz

研究成果: Article査読

26 被引用数 (Scopus)

抄録

The transport of cold atoms in shallow optical lattices is characterized by slow, nonstationary momentum relaxation. We develop a projector operator method able to derive, in this case, a generalized Smoluchowski equation for the position variable. We show that this explicitly non-Markovian equation can be written as a systematic expansion involving higher-order derivatives. We use the latter to compute arbitrary moments of the spatial distribution and analyze their multifractal properties.

本文言語English
論文番号230601
ジャーナルPhysical review letters
108
23
DOI
出版ステータスPublished - 2012 6月 8
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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