Dark soliton in a disorder potential
arXiv:1111.5248 · doi:10.1103/PhysRevA.85.023627
Abstract
We consider dark soliton in a Bose-Einstein condensate in the presence of a weak disorder potential. Deformation of the soliton shape is analyzed within the Bogoliubov approach and by employing expansion in eigenstates of the Pöschl-Teller Hamiltonian. Comparison of the results with the numerical simulations indicates that the linear response analysis reveals good agreement even if the strength of the disorder is of the order of the chemical potential of the system. In the second part of the paper we concentrate on quantum nature of the dark soliton and demonstrate that the soliton may reveal Anderson localization in the presence of a disorder. The Anderson localized soliton may decay due to quasi-particle excitations induced by the disorder. However, we show that the corresponding lifetime is much longer than condensate lifetime in a typical experiment.
10 pages, 3 figures, version accepted for publication in Phys. Rev. A
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- Zero-energy modes of two-component Bose-Bose droplets
- Manifestation of relative phase in dynamics of two interacting Bose-Bose droplets
- Breakdown of Anderson localization of interacting quantum bright solitons in a disorder potential
- Localization landscape for interacting Bose gases in one-dimensional speckle potentials