Quantum transport of atomic matter waves in anisotropic two-dimensional and three-dimensional disorder
The macroscopic transport properties in a disordered potential, namely diffusion and weak/strong localization, closely depend on the microscopic and statistical properties of the disorder itself. This dependence is rich in counter-intuitive consequences. It can be particularly exploited in matter wa...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/7/075007 |
| _version_ | 1827874283428249600 |
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| author | M Piraud L Pezzé L Sanchez-Palencia |
| author_facet | M Piraud L Pezzé L Sanchez-Palencia |
| author_sort | M Piraud |
| collection | DOAJ |
| description | The macroscopic transport properties in a disordered potential, namely diffusion and weak/strong localization, closely depend on the microscopic and statistical properties of the disorder itself. This dependence is rich in counter-intuitive consequences. It can be particularly exploited in matter wave experiments, where the disordered potential can be tailored and controlled, and anisotropies are naturally present. In this work, we apply a perturbative microscopic transport theory and the self-consistent theory of Anderson localization to study the transport properties of ultracold atoms in anisotropic two-dimensional (2D) and three-dimensional (3D) speckle potentials. In particular, we discuss the anisotropy of single-scattering, diffusion and localization. We also calculate disorder-induced shift of the energy states and propose a method to include it, which amounts to renormalizing energies in the standard on-shell approximation. We show that the renormalization of energies strongly affects the prediction for the 3D localization threshold (mobility edge). We illustrate the theoretical findings with examples which are relevant for current matter wave experiments, where the disorder is created with laser speckle. This paper provides a guideline for future experiments aiming at the precise location of the 3D mobility edge and study of anisotropic diffusion and localization effects in 2D and 3D. |
| first_indexed | 2024-03-12T16:50:04Z |
| format | Article |
| id | doaj.art-e3e21cc44bfb49c187177c40177fdc34 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:50:04Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-e3e21cc44bfb49c187177c40177fdc342023-08-08T11:25:00ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115707500710.1088/1367-2630/15/7/075007Quantum transport of atomic matter waves in anisotropic two-dimensional and three-dimensional disorderM Piraud0L Pezzé1L Sanchez-Palencia2Laboratoire Charles Fabry, Institut d'Optique, CNRS, Université Paris Sud , 2 Avenue Augustin Fresnel, F-91127 Palaiseau Cedex, FranceLaboratoire Charles Fabry, Institut d'Optique, CNRS, Université Paris Sud , 2 Avenue Augustin Fresnel, F-91127 Palaiseau Cedex, France; QSTAR, INO-CNR and LENS, Largo Enrico Fermi 6, I-50125 Firenze, ItalyLaboratoire Charles Fabry, Institut d'Optique, CNRS, Université Paris Sud , 2 Avenue Augustin Fresnel, F-91127 Palaiseau Cedex, FranceThe macroscopic transport properties in a disordered potential, namely diffusion and weak/strong localization, closely depend on the microscopic and statistical properties of the disorder itself. This dependence is rich in counter-intuitive consequences. It can be particularly exploited in matter wave experiments, where the disordered potential can be tailored and controlled, and anisotropies are naturally present. In this work, we apply a perturbative microscopic transport theory and the self-consistent theory of Anderson localization to study the transport properties of ultracold atoms in anisotropic two-dimensional (2D) and three-dimensional (3D) speckle potentials. In particular, we discuss the anisotropy of single-scattering, diffusion and localization. We also calculate disorder-induced shift of the energy states and propose a method to include it, which amounts to renormalizing energies in the standard on-shell approximation. We show that the renormalization of energies strongly affects the prediction for the 3D localization threshold (mobility edge). We illustrate the theoretical findings with examples which are relevant for current matter wave experiments, where the disorder is created with laser speckle. This paper provides a guideline for future experiments aiming at the precise location of the 3D mobility edge and study of anisotropic diffusion and localization effects in 2D and 3D.https://doi.org/10.1088/1367-2630/15/7/075007 |
| spellingShingle | M Piraud L Pezzé L Sanchez-Palencia Quantum transport of atomic matter waves in anisotropic two-dimensional and three-dimensional disorder New Journal of Physics |
| title | Quantum transport of atomic matter waves in anisotropic two-dimensional and three-dimensional disorder |
| title_full | Quantum transport of atomic matter waves in anisotropic two-dimensional and three-dimensional disorder |
| title_fullStr | Quantum transport of atomic matter waves in anisotropic two-dimensional and three-dimensional disorder |
| title_full_unstemmed | Quantum transport of atomic matter waves in anisotropic two-dimensional and three-dimensional disorder |
| title_short | Quantum transport of atomic matter waves in anisotropic two-dimensional and three-dimensional disorder |
| title_sort | quantum transport of atomic matter waves in anisotropic two dimensional and three dimensional disorder |
| url | https://doi.org/10.1088/1367-2630/15/7/075007 |
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