Propagation of a Dark Soliton in a Disordered Bose-Einstein Condensate
arXiv:cond-mat/0506020 · doi:10.1103/PhysRevLett.95.130403
Abstract
We consider the propagation of a dark soliton in a quasi 1D Bose-Einstein condensate in presence of a random potential. This configuration involves nonlinear effects and disorder, and we argue that, contrarily to the study of stationary transmission coefficients through a nonlinear disordered slab, it is a well defined problem. It is found that a dark soliton decays algebraically, over a characteristic length which is independent of its initial velocity, and much larger than both the healing length and the 1D scattering length of the system. We also determine the characteristic decay time.
arXiv comment4 pages, 2 figures
References in corpus (11)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- A Bose-Einstein condensate in a random potential
- Collective oscillations of a 1D trapped Bose gas
- Motion of a heavy impurity through a Bose-Einstein condensate
- Propagation of Bose-Einstein condensates in a magnetic waveguide
- Matterwave localization in disordered cold atom lattices
- Dissipative dynamics of a kink state in a Bose-condensed gas
- Surface Effects in Magnetic Microtraps
- Effects of Disorder in a Dilute Bose Gas
- The role of wire imperfections in micro magnetic traps for atoms
- Solitonic transmission of Bose-Einstein matter waves
Cited by in corpus (20)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- Delocalization induced by nonlinearity in systems with disorder
- Superfluidity versus Anderson localization in a dilute Bose gas
- Propagation of matter wave solitons in periodic and random nonlinear potentials
- Anderson localization of elementary excitations in a one dimensional Bose-Einstein condensate
- Nonlinear transport of Bose-Einstein condensates through mesoscopic waveguides
- Anderson localization of solitons
- Anderson localization of a weakly interacting one dimensional Bose gas
- Dark soliton decay due to trap anharmonicity in atomic Bose-Einstein condensates
- Numerical study of one-dimensional and interacting Bose-Einstein condensates in a random potential
- Resonant scattering of matter wave gap-solitons by optical lattice defects
- Time-reversal focusing of an expanding soliton gas in disordered replicas
- Matter-wave dark solitons in box-like traps
- Dark soliton in a disorder potential
- Dark solitons near potential and nonlinearity steps
- Effect of Disorder in BCS-BEC Crossover
- Dark Soliton Scattering in Symmetric and Asymmetric Double Potential Barriers
- Stochastic longevity of a dark soliton in a finite-temperature Bose-Einstein condensate
- Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons