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

@article{RomeroRos2020OndemandGO, 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}, year={2020}, volume={103}, pages={023329} }

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…

## 7 Citations

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

- PhysicsEPL (Europhysics Letters)
- 2021

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

- Physics, Mathematics
- 2022

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

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2022

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.,…

### Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity

- PhysicsChaos, Solitons & Fractals
- 2022

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

- PhysicsFrontiers in Physics
- 2021

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

- PhysicsPhysical Review Research
- 2021

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

- PhysicsJournal of Physics B: Atomic, Molecular and Optical Physics
- 2021

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…

## References

SHOWING 1-10 OF 77 REFERENCES

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

- Physics
- 2015

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

- Physics
- 2008

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

- Physics
- 2001

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

- Mathematics
- 1987

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

- 117
- 2016

### Nature Physics 4

- 496
- 2008

### Science 293

- 663
- 2001

### A: Math

- Theor. 43, 213001
- 2010

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

- PhysicsPhysical review. A
- 2020

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

- Physics
- 2020

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…