Dark soliton in a disorder potential

Details Dark soliton in a disorder potential Dark soliton in a disorder potential

2011-11-22

arxiv.org/abs/1111.5248v2

Phys. Rev. A 85, 023627 (2012)

Physics

Condensed Matter

Quantum Gases

10 pages, 3 figures, version accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.85.023627

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 P\"oschl-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.

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