Continuous-Time Random Walk for a Particle in a Periodic Potential

Andreas Dechant, Farina Kindermann, Artur Widera, Eric Lutz

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


Continuous-time random walks offer powerful coarse-grained descriptions of transport processes. We here microscopically derive such a model for a Brownian particle diffusing in a deep periodic potential. We determine both the waiting-time and the jump-length distributions in terms of the parameters of the system, from which we analytically deduce the non-Gaussian characteristic function. We apply this continuous-time random walk model to characterize the underdamped diffusion of single cesium atoms in a one-dimensional optical lattice. We observe excellent agreement between experimental and theoretical characteristic functions, without any free parameter.

Original languageEnglish
Article number070602
JournalPhysical review letters
Issue number7
Publication statusPublished - 2019 Aug 13

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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