Continuous-Time Random Walk for a Particle in a Periodic Potential
Dechant A, Kindermann F, Widera A, Lutz E (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 123
Article Number: 070602
Journal Issue: 7
DOI: 10.1103/PhysRevLett.123.070602
Abstract
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.
Involved external institutions
Tohoku University
Japan (JP)
Technische Universität Kaiserslautern
Germany (DE)
Universität Stuttgart
Germany (DE)
Japan (JP)
Technische Universität Kaiserslautern
Germany (DE)
Universität Stuttgart
Germany (DE)
How to cite
APA:
Dechant, A., Kindermann, F., Widera, A., & Lutz, E. (2019). Continuous-Time Random Walk for a Particle in a Periodic Potential. Physical Review Letters, 123(7). https://dx.doi.org/10.1103/PhysRevLett.123.070602
MLA:
Dechant, Andreas, et al. "Continuous-Time Random Walk for a Particle in a Periodic Potential." Physical Review Letters 123.7 (2019).
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