• DOI:10.1088/1361-6455/ab4fb7
• Corpus ID: 204734204

Quasi-one-dimensional approximation for Bose–Einstein condensates transversely trapped by a funnel potential

@article{dosSantos2019QuasionedimensionalAF,
  title={Quasi-one-dimensional approximation for Bose–Einstein condensates transversely trapped by a funnel potential},
  author={Mateus C. P. dos Santos and Boris A. Malomed and Wesley B. Cardoso},
  journal={Journal of Physics B: Atomic, Molecular and Optical Physics},
  year={2019},
  volume={52}
}

• M. D. dos Santos, B. Malomed, W. B. Cardoso
• Published 15 October 2019
• Physics
• Journal of Physics B: Atomic, Molecular and Optical Physics

Starting from the standard three-dimensional (3D) Gross–Pitaevskii equation (GPE) and using a variational approximation, we derive an effective one-dimensional nonpolynomial Schrödinger equation (1D-NPSE) governing the axial dynamics of atomic Bose–Einstein condensates (BECs) under the action of a singular but physically relevant funnel-shaped transverse trap, i.e. an attractive 2D potential ∼−1/r (where r is the radial coordinate in the transverse plane), in combination with the repulsive self-interaction. Wave functions of the trapped BEC are regular, in spite of the potential’s singularity. The model applies to a condensate of particles (small molecules) carrying a permanent electric dipole moment in the field of a uniformly charged axial thread, as well as to a quantum gas of magnetic atoms pulled by an axial electric current. By means of numerical simulations, we verify that the effective 1D-NPSE provides accurate static and dynamical results, in comparison to the full 3D GPE, for both repulsive and attractive signs of the intrinsic nonlinearity.