The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Anderson localization of a non-interacting Bose–Einstein condensate
Open accessAbstract
Anderson localization of waves in disordered media was originally predicted fifty years ago, in the context of transport of electrons in crystals. The phenomenon is much more general and has been observed in a variety of systems, including light waves. However, Anderson localization has not been observed directly for matter waves. Owing to the high degree of control over most of the system parameters (in particular the interaction strength), ultracold atoms offer opportunities for the study of disorder-induced localization. Here we use a non-interacting Bose–Einstein condensate to study Anderson localization. The experiment is performed with a one-dimensional quasi-periodic lattice—a system that features a crossover between extended and exponentially localized states, as in the case of purely random disorder in higher dimensions. Localization is clearly demonstrated through investigations of the transport properties and spatial and momentum distributions. We characterize the crossover, finding that the critical disorder strength scales with the tunnelling energy of the atoms in the lattice. This controllable system may be used to investigate the interplay of disorder and interaction (ref. 7 and references therein), and to explore exotic quantum phases.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Transport and Anderson localization in disordered two-dimensional photonic lattices
Schwartz, T., Bartal, G., Fishman, S., & Segev, M. (2007) · Nature · doi:10.1038/nature05623 · Cited by 1,600
Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas
Hadzibabic, Z., Krüger, P., Cheneau, M., Battelier, B., & Dalibard, J. (2006) · Nature · doi:10.1038/nature04851 · Cited by 972
Research works printed but not linked: 28
- Lee, P. A. & Ramakrishnan, T. V. Disordered electronic systems. Rev. Mod. Phys. 57, 287–337 (1985) · DOI · Paper page
- Kramer, B. & MacKinnon, A. Localization: theory and experiment. Rep. Prog. Phys. 56, 1469–1564 (1993) · DOI · Paper page
- Van Albada, M. P. & Lagendijk, A. Observation of weak localization of light in a random medium. Phys. Rev. Lett. 55, 2692–2695 (1985) · DOI · Paper page
- Wiersma, D. S., Bartolini, P., Lagendijk, A. & Righini, R. Localization of light in a disordered medium. Nature 390, 671–673 (1997) · DOI · Paper page
- Damski, B., Zakrzewski, J., Santos, L., Zoller, P. & Lewenstein, M. Atomic Bose and Anderson glasses in optical lattices. Phys. Rev. Lett. 91, 080403 (2003) · DOI · Paper page
- Dubi, Y., Meir, Y. & Avishai, Y. Nature of the superconductor-insulator transition in disordered superconductor. Nature 449, 876–880 (2007) · DOI · Paper page
- Fallani, L., Lye, J. E., Guarrera, V., Fort, C. & Inguscio, M. Ultracold atoms in a disordered crystal of light: towards a Bose glass. Phys. Rev. Lett. 98, 130404 (2007) · DOI · Paper page
- Lahini, Y. et al. Anderson localization and nonlinearity in one-dimensional disordered photonic lattices. Phys. Rev. Lett. 100, 013906 (2008) · DOI · Paper page
- Lye, J. E. et al. Bose-Einstein condensate in a random potential. Phys. Rev. Lett. 95, 070401 (2005) · DOI · Paper page
- Clément, D. et al. Suppression of transport of an interacting elongated Bose-Einstein condensate in a random potential. Phys. Rev. Lett. 95, 170409 (2005) · DOI · Paper page
- Fort, C. et al. Effect of optical disorder and single defects on the expansion of a Bose-Einstein condensate in a one-dimensional waveguide. Phys. Rev. Lett. 95, 170410 (2005) · DOI · Paper page
- Schulte, T. et al. Routes towards Anderson-like localization of Bose-Einstein condensates in disordered optical lattices. Phys. Rev. Lett. 95, 170411 (2005) · DOI · Paper page
- Lye, J. E. et al. Effect of interactions on the localization of a Bose-Einstein condensate in a quasi-periodic lattice. Phys. Rev. A 75, 061603 (2007) · DOI
- Roati, G. et al. 39K Bose-Einstein condensate with tunable interactions. Phys. Rev. Lett. 99, 010403 (2007) · DOI
- Harper, P. G. Single band motion of conduction electrons in a uniform magnetic field. Proc. Phys. Soc. A 68, 874–878 (1955) · DOI · Paper page
- Aubry, S. & André, G. Analyticity breaking and Anderson localization in incommensurate lattices. Ann. Israel Phys. Soc. 3, 133–140 (1980)
- Grempel, D. R., Fishman, S. & Prange, R. E. Localization in an incommensurate potential: an exactly solvable model. Phys. Rev. Lett. 49, 833–836 (1982) · DOI · Paper page
- Aulbach, C., Wobst, A., Ingold, G.-L., Hänggi, P. & Varga, I. Phase-space visualization of a metal–insulator transition. New J. Phys. 6 doi: 10.1088/1367-2630/6/1/070 (2004) · DOI
- Abrahams, E., Anderson, P. W., Licciardello, D. C. & Ramakrishnan, T. V. Scaling theory of localization: absence of quantum diffusion in two dimensions. Phys. Rev. Lett. 42, 673–676 (1979) · DOI · Paper page
- Fattori, M. et al. Atom interferometry with a weakly interacting Bose-Einstein condensate. Phys. Rev. Lett. 100, 080405 (2008) · DOI · Paper page
- Zhong, J. et al. Shape of the quantum front. Phys. Rev. Lett. 86, 2485–2489 (2001) · DOI
- Pedri, P. et al. Expansion of a coherent array of Bose-Einstein condensates. Phys. Rev. Lett. 87, 220401 (2001) · DOI
- Burger, S. et al. Quasi-2D Bose-Einstein condensation in an optical lattice. Europhys. Lett. 57, 1–6 (2002) · DOI
- Lugan, P. et al. Ultracold Bose gases in 1D disorder: from Lifshits glass to Bose-Einstein condensate. Phys. Rev. Lett. 98, 170403 (2007) · DOI
- Roux, G. et al. The quasi-periodic Bose-Hubbard model and localization in 1-dimensional cold atomic gases. Preprint at 〈 http://arxiv.org/abs/0802.3774 〉 (2008) · arXiv
- D’Errico, C. et al. Feshbach resonances in ultracold 39K. New J. Phys. 9 doi: 10.1088/1367-2630/9/7/223 (2007) · doi:10.1088/1367-2630/9/7/223
- Ovchinnikov et al. Diffraction of a released Bose-Einstein condensate by a pulsed standing light wave. Phys. Rev. Lett. 83, 284–287 (1999) · doi:10.1103/physrevlett.83.284
- Gerbier, F. et al. Interference pattern and visibility of a Mott insulator. Phys. Rev. A 72, 053606 (2005) · DOI
Cited by
Georgescu, I. M., Ashhab, S., & Nori, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.153 · Cited by 2,932
“There have been studies on the AQS of frustrated spin models with trapped ions (Bermudez et al., 2011; Ivanov and Schmidt-Kaler, 2011; Kim et al., 2010; Porras and Cirac, 2006b), NMR (Peng et al., 2009), photons (Ma et al., 2011) and atoms in optical lattices (see (Lewenstein et al., 2007) and references therein, (Bec…”
BackgroundInfluentialQuantum simulations with ultracold quantum gases
Bloch, I., Dalibard, J., & Nascimbène, S. (2012) · Nature Physics · doi:10.1038/nphys2259 · Cited by 2,339
Light-induced gauge fields for ultracold atoms
Goldman, N., Juzeliūnas, G., Öhberg, P., & Spielman, I. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/12/126401 · Cited by 1,212
Exploring the many-body localization transition in two dimensions
Choi, J.-Y., Hild, S., Zeiher, J., Schauß, P., Rubio-Abadal, A., Yefsah, T., Khemani, V., Huse, D. A., Bloch, I., & Gross, C. (2016) · Science · doi:10.1126/science.aaf8834 · Cited by 979
Many-body localization in a quantum simulator with programmable random disorder
Smith, J., Lee, A., Richerme, P., Neyenhuis, B., Hess, P. W., Hauke, P., Heyl, M., Huse, D. A., & Monroe, C. (2016) · Nature Physics · doi:10.1038/nphys3783 · Cited by 915
Metadata
- Authors
- Roati, G., D’Errico, C., Fallani, L., Fattori, M., Fort, C., Zaccanti, M., Modugno, G., Modugno, M., & Inguscio, M.
- Venue
- Nature
- Published
- 2008-06
- Volume
- 453
- Issue
- 7197
- Pages
- 895-898
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W1976143157
- Cited by
- 1,818
- References
- 4
- FWCI
- 59.56
- Type
- journal article
- Language
- en
- Open access
- green
- Licence
- www.springer.com/tdm (tdm)
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Anderson localization of a non-interacting Bose–Einstein condensate. https://app.cochat.ai/papers/10.1038/nature07071
- The paper
- Roati, G., D’Errico, C., Fallani, L., Fattori, M., Fort, C., Zaccanti, M., Modugno, G., Modugno, M., & Inguscio, M. (2008). Anderson localization of a non-interacting Bose–Einstein condensate. Nature. https://doi.org/10.1038/nature07071
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.