On-demand generation of dark soliton trains in Bose-Einstein condensates

  title={On-demand generation of dark soliton trains in Bose-Einstein condensates},
  author={A. Romero-Ros and G. C. Katsimiga and Panayotis G. Kevrekidis and Barbara Prinari and Gino Biondini and Peter Schmelcher},
  journal={Physical Review A},
Matter-wave interference mechanisms in one-dimensional Bose-Einstein condensates that allow for the controlled generation of dark soliton trains upon choosing suitable box-type initial configurations are described. First, the direct scattering problem for the defocusing nonlinear Schr\"odinger equation with nonzero boundary conditions and general box-type initial configurations is discussed, and expressions for the discrete spectrum corresponding to the dark soliton excitations generated by the… 

Characterising arbitrary dark solitons in trapped one-dimensional Bose-Einstein condensates

We present a method to detect the presence and depth of dark solitons within repulsive one-dimensional harmonically trapped Bose-Einstein condensates. For a system with one soliton, we provide

Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{\"o}dinger equation

We use the mathematical toolbox of the inverse scattering transform to study quantitatively the number of solitons in a far from equilibrium one-dimensional system described by the defocusing

Manakov system with parity symmetry on nonzero background and associated boundary value problems

We characterize initial value problems for the defocusing Manakov system (coupled two-component nonlinear Schrödinger equation) with nonzero background and well-defined spatial parity symmetry (i.e.,

Emission of Solitons From an Obstacle Moving in the Bose-Einstein Condensate

Dark solitons dynamically generated from a potential moving in a one-dimensional Bose-Einstein condensate are displayed. Based on numerical simulations of the Gross-Pitaevskii equation, we find that

Nonlinear Schrödinger equation solitons on quantum droplets

Irrotational flow of a spherical thin liquid layer surrounding a rigid core is described using the defocusing nonlinear Schrödinger equation. Accordingly, azimuthal moving nonlinear waves are modeled

Kink-like solitons in quantum droplet

Solitonic excitations of the one-dimensional quantum droplets are obtained, which smoothly connect vacuum with the flat-top droplet, akin to compactons in classical liquids. These solitons are of the



The Defocusing Nonlinear Schrödinger Equation - From Dark Solitons to Vortices and Vortex Rings

The Defocusing Nonlinear Schrdinger Equation is a broad study of nonlinear excitations in self-defocusing nonlinear media and contains a wealth of resources, including over 800 references to relevant articles and monographs and a meticulous index for ease of navigation.

Emergent nonlinear phenomena in Bose-Einstein condensates : theory and experiment

Basic Mean-Field Theory for Bose-Einstein Condensates.- Basic Mean-Field Theory for Bose-Einstein Condensates.- Bright Solitons in Bose-Einstein Condensates.- Bright Solitons in Bose-Einstein

Bose-Einstein Condensation in Dilute Gases

1. Introduction 2. The non-interacting Bose gas 3. Atomic properties 4. Trapping and cooling of atoms 5. Interactions between atoms 6. Theory of the condensed state 7. Dynamics of the condensate 8.

Hamiltonian methods in the theory of solitons

The Nonlinear Schrodinger Equation (NS Model).- Zero Curvature Representation.- The Riemann Problem.- The Hamiltonian Formulation.- General Theory of Integrable Evolution Equations.- Basic Examples

Physica D: Nonlinear Phenomena 333

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Creating solitons with controllable and near-zero velocity in Bose-Einstein condensates.

This work creates dark solitons in highly anisotropic cigar-shaped BECs with arbitrary position and velocity by simultaneously engineering the amplitude and phase of the condensate wave function, improving upon previous techniques which explicitly manipulated only the condenate phase.

Observation and analysis of multiple dark-antidark solitons in two-component Bose-Einstein condensates

We report on the static and dynamical properties of multiple dark-antidark solitons (DADs) in two-component, repulsively interacting Bose-Einstein condensates. Motivated by experimental observations