Effect of a potential step or impurity on the Bose-Einstein condensate mean field

  title={Effect of a potential step or impurity on the Bose-Einstein condensate mean field},
  author={Brian Seaman and Lincoln D. Carr and Murray J. Holland},
  journal={Physical Review A},
The full set of stationary states of the mean field of a Bose-Einstein condensate in the presence of a potential step or pointlike impurity are presented in closed analytic form. The nonlinear Schroedinger equation in one dimension is taken as a model. The nonlinear analogs of the continuum of stationary scattering states, as well as evanescent waves, are discussed. The solutions include asymmetric soliton trains and other wave functions of intriguing form, such as a pair of dark solitons bound… 
Analytic Study of a Bose–Einstein Condensate in Waveguide with an Obstacle Potential
We investigate the exact solutions of one-dimensional (1D) time-independent Gross–Pitaevskii equation (GPE), which governs a Bose–Einstein condensate (BEC) in the magnetic waveguide with a
Tunneling problems between Bose-Einstein condensates
We investigate transmission and reflection of Bose-Einstein condensate excitations in the low-energy limit across a potential barrier separating two condensates with different densities. Bogoliubov
Analytical study of resonant transport of Bose-Einstein condensates (12 pages)
We study the stationary nonlinear Schr\"odinger equation, or Gross-Pitaevskii equation, for a one-dimensional finite square-well potential. By neglecting the mean-field interaction outside the
Stationary Classical Chaos of Trapped Two-Component Bose–Einstein Condensates in 1-D Optical Lattice Potentials
We study the nonlinear dynamics of two-component Bose–Einstein condensates in one-dimensional periodic optical lattice potentials. The stationary state perturbation solutions of the coupled
Finite-well potential in the 3D nonlinear Schrödinger equation: application to Bose-Einstein condensation
Abstract.Using variational and numerical solutions we show that stationary negative-energy localized (normalizable) bound states can appear in the three-dimensional nonlinear Schrödinger equation
Landau and Dynamical Instabilities of Bose-Einstein Condensates in a Kronig-Penney Potential
Abstract We study elementary excitations of Bose-Einstein condensates in a one-dimensional periodic potential and discuss the stability of superfluid flow based on the Kronig-Penney model. We
Nonequilibrium steady states of Bose-Einstein condensates with a local particle loss in double potential barriers
We investigate stability of non-equilibrium steady states of Bose-Einstein condensates with a local one-body loss in the presence of double potential barriers. We construct an exactly solvable
Instabilities and sound speed of a Bose-Einstein condensate in the Kronig-Penney potential
We analyze the full set of Bloch wave stationary solutions for a Bose-Einstein condensate in the Kronig-Penney potential. We investigate the Landau instability and dynamical instability of the Bloch


Nonlinear Waves, Solitons and Chaos
1. Introduction 2. Linear waves and instabilities in infinite media 3. Convective and non-convective instabilities group velocity in unstable media 4. A first look at surface waves and instabilities