Quantum Diffusion of Matter Waves in 2D Speckle Potentials
arXiv:0807.3698 · doi:10.1140/epjb/e2008-00463-7
Abstract
This paper investigates quantum diffusion of matter waves in two-dimensional random potentials, focussing on expanding Bose-Einstein condensates in spatially correlated optical speckle potentials. Special care is taken to describe the effect of dephasing, finite system size, and an initial momentum distribution. We derive general expressions for the interference-renormalized diffusion constant, the disorder-averaged probability density distribution, the variance of the expanding atomic cloud, and the localized fraction of atoms. These quantities are studied in detail for the special case of an inverted-parabola momentum distribution as obtained from an expanding condensate in the Thomas-Fermi regime. Lastly, we derive quantitative criteria for the unambiguous observation of localization effects in a possible 2D experiment.
some structural changes and corrected fig. 2, final version
References in corpus (15)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Anderson localization of a non-interacting Bose-Einstein condensate
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Evolution of a Bose-condensed gas under variations of the confining potential
- Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
- Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
- Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle
- Coherent Matter Wave Transport in Speckle Potentials
- Localization of Matter Waves in 2D-Disordered Optical Potentials
- Anderson localization of a Bose-Einstein condensate in a 3D random potential
- Expansion of a Bose-Einstein Condensate in the Presence of Disorder
- Coherent backscattering of Bose-Einstein condensates in two-dimensional disorder potentials
- Microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size
- Mesoscopic scattering of spin s particles
- Quasi-localization and quasi-mobility edge for light atoms mixed with heavy ones
Cited by in corpus (13)
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- Anderson localization of solitons
- Coherent Backscattering of Ultracold Matter Waves: Momentum Space Signatures
- Quantum transport of atomic matterwaves in anisotropic 2D and 3D disorder
- Transport regimes of cold gases in a two-dimensional anisotropic disorder
- Fokker-Planck equation for transport of wave packets in nonlinear disordered media
- Matter-wave analog of an optical random laser
- Phase diagram of quasi-two-dimensional bosons in laser speckle potential
- Diffusion of cold atomic gases in the presence of an optical speckle potential
- Delocalization of ultracold atoms in a disordered potential due to light scattering
- Effective-medium approach to the resonance distribution of wave scattering in a random point field
- Density wave propagation in a two-dimensional random dimer potential: from a single to a bipartite square lattice