Anomalous spatial diffusion and multifractality in optical lattices

Andreas Dechant, Eric Lutz

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number230601
JournalPhysical Review Letters
Volume108
Issue number23
DOIs
Publication statusPublished - 2012 Jun 8
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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