Effect of interactions on the diffusive expansion of a Bose-Einstein condensate in a 3D random potential
arXiv:0904.0155 · doi:10.1103/PhysRevA.79.063604
Abstract
We theoretically study the influence of weak interactions on the diffusive expansion of a Bose-Einstein condensate in a three-dimensional random potential. For this purpose we develop a perturbative approach and calculate analytically the first-order nonlinear correction to the ensemble-averaged atomic density as a function of position and time. We find that interactions renormalize the typical diffusion coefficient of the condensate. The magnitude of the nonlinear correction is controlled by a single dimensionless parameter that includes both interaction and disorder strengths.
15 pages, 4 figures
References in corpus (17)
- Anderson localization of a non-interacting Bose-Einstein condensate
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Destruction of Anderson localization by a weak nonlinearity
- Evolution of a Bose-condensed gas under variations of the confining potential
- A Bose-Einstein condensate in a random potential
- Universal spreading of wavepackets in disordered nonlinear systems
- Suppression of Transport of an Interacting Elongated Bose-Einstein Condensate in a Random Potential
- Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
- Effect of optical disorder and single defects on the expansion of a Bose-Einstein condensate in a one-dimensional waveguide
- Coherent Matter Wave Transport in Speckle Potentials
- Anderson localization of a Bose-Einstein condensate in a 3D random potential
- Expansion of a Bose-Einstein Condensate in the Presence of Disorder
- Collective dynamics and expansion of a Bose-Einstein condensate in a random potential
- Numerical study of one-dimensional and interacting Bose-Einstein condensates in a random potential
- Mesoscopic sensitivity of speckles in disordered nonlinear media to changes of disordered potential
- Density Correlations in Cold Atomic Gases: Atomic Speckles in the Presence of Disorder
- Long-range correlations of density in a Bose-Einstein condensate expanding in a random potential
Cited by in corpus (9)
- Anderson localization in Bose-Einstein condensates
- Cold atoms in the presence of disorder
- Transport regimes of cold gases in a two-dimensional anisotropic disorder
- Matter-wave localization in a random potential
- Matter-wave localization in a weakly perturbed optical lattice
- Coherent propagation of waves in random media with weak nonlinearity
- Fokker-Planck equation for transport of wave packets in nonlinear disordered media
- Diffusion of cold atomic gases in the presence of an optical speckle potential
- A self-consistent theory of localization in nonlinear random media