Scientific Results

Observation of Subdiffusion in a Disordered Interacting System

Year: 2011

Authors: Lucioni E., Deissler B., Tanzi L., Roati G., Zaccanti M., Modugno M., Larcher M., Dalfovo F., Inguscio M., Modugno G.

Autors Affiliation: LENS and Dipartimento di Fisica e Astronomia, Universita\’ di Firenze, and INO-CNR, 50019 Sesto Fiorentino, Italy; Department of Theoretical Physics and History of Science, UPV-EHU, 48080 Bilbao, Spain; IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain; INO-CNR BEC Center and Dipartimento di Fisica, Universita\’ di Trento, 38123 Povo, Italy

Abstract: We study the transport dynamics of matter-waves in the presence of disorder and nonlinearity. An atomic Bose-Einstein condensate that is localized in a quasiperiodic lattice in the absence of atom-atom interaction shows instead a slow expansion with a subdiffusive behavior when a controlled repulsive interaction is added. The measured features of the subdiffusion are compared to numerical simulations and a heuristic model. The observations confirm the nature of subdiffusion as interaction-assisted hopping between localized states and highlight a role of the spatial correlation of the disorder.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 106 (23)      Pages from: 230403  to: 230403

More Information: We acknowledge discussions with F. Caruso, C. D\’Errico, A. M. Garcia-Garcia, M. Moratti, S. Flach, F. M. Izrailev, S. Lepri, A. Pikovsky, and D. Shepeliansky. This work was supported by EU (IP AQUTE), by ERC through the QUPOL and DISQUA grants and by the ESF and CNR through the EuroQUASAR program.
KeyWords: Atom-atom interaction; Atomic Bose-Einstein condensate; Heuristic model; Interacting system; Localized state; Non-Linearity; Quasi-periodic lattices; Repulsive interactions; Spatial correlations; Subdiffusion; Subdiffusive behavior; Transport dynamics, Computer simulation; Statistical mechanics; Steam condensers, Atoms; Ultracold atoms; disordered potentials; Anderson localization; Nonlinear-waves; Lattices
DOI: 10.1103/PhysRevLett.106.230403

Citations: 87
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