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Observation of Anomalous Diffusion and Fractional Self-Similarity in One Dimension
Open accessAbstract
We experimentally study anomalous diffusion of ultracold atoms in a one dimensional polarization optical lattice. The atomic spatial distribution is recorded at different times and its dynamics and shape are analyzed. We find that the width of the cloud exhibits a power-law time dependence with an exponent that depends on the lattice depth. Moreover, the distribution exhibits fractional self-similarity with the same characteristic exponent. The self-similar shape of the distribution is found to be well fitted by a Lévy distribution, but with a characteristic exponent that differs from the temporal one. Numerical simulations suggest that this is due to long trapping times in the lattice and correlations between the atom's velocity and flight duration.
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Cites
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
Bouchaud, J.-P., & Georges, A. (1990) · Physics Reports · doi:10.1016/0370-1573(90)90099-n · Cited by 4,162
Cited by
Metzler, R., Jeon, J.-H., Cherstvy, A. G., & Barkai, E. (2014) · Phys. Chem. Chem. Phys. · doi:10.1039/c4cp03465a · Cited by 1,765
Ratnakar, R. R., & Dindoruk, B. (2022) · Processes · doi:10.3390/pr10061194 · Cited by 54
Metadata
- Authors
- Sagi, Y., Brook, M., Almog, I., & Davidson, N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-03-01
- Volume
- 108
- Issue
- 9
- Pages
- 093002-093002
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2047402213
- Cited by
- 186
- References
- 1
- FWCI
- 14.56
- Type
- journal article
- Language
- en
- Open access
- green
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- Sagi, Y., Brook, M., Almog, I., & Davidson, N. (2012). Observation of Anomalous Diffusion and Fractional Self-Similarity in One Dimension. Physical Review Letters. https://doi.org/10.1103/physrevlett.108.093002
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