Normal mode oscillations of a nonlocal composite matter wave soliton
arXiv:1812.06290 · doi:10.1103/PhysRevE.98.062220
Abstract
The existence of stable bound states of three solitons in a Bose-Einstein condensate with nonlocal interactions is demonstrated by means of variational approach (VA) and numerical simulations. The potential of interaction between solitons derived from VA is shown to be of molecular type, i.e. attractive at long distances and repulsive at short distances. Normal modes of a three-soliton molecule are investigated by computing small amplitude oscillations of individual solitons near their equilibrium positions. Symmetric and asymmetric stretched states of the molecule are prepared and used as initial conditions in numerical simulations of the nonlocal Gross-Pitaevskii equation. As opposed to usual triatomic molecules, we find that the frequency of the asymmetric mode of a three-soliton molecule is smaller than the one of the symmetric mode. Possible experimental settings for the observation of these results are briefly discussed.
References in corpus (26)
- Feshbach Resonances in Ultracold Gases
- Formation and Propagation of Matter Wave Soliton Trains
- Tuning the dipolar interaction in quantum gases
- Collisions of matter-wave solitons
- Formation of matter-wave soliton trains by modulational instability
- Controlled formation and reflection of a bright solitary matter-wave
- Dipolar gases in quasi one-dimensional geometries
- Bright solitary matter waves: formation, stability and interactions
- Solitons in quasi one-dimensional Bose-Einstein condensates with competing dipolar and local interactions
- Soliton Molecules In Dipolar Bose-Einstein Condensates
- Tuning the dipole-dipole interaction in a quantum gas with a rotating magnetic field
- Two-dimensional nonlocal vortices, multipole solitons and azimuthons in dipolar Bose-Einstein condensates
- Scattering of two-dimensional solitons in dipolar Bose-Einstein condensates
- Brownian motion of solitons in a Bose-Einstein Condensate
- Solitons in Tonks-Girardeau gas with dipolar interactions
- Dynamics of quasi-one-dimensional bright and vortex solitons of a dipolar Bose-Einstein condensate with repulsive atomic interaction
- Interaction of solitons in dipolar Bose-Einstein condensates and formation of soliton molecules
- Controllable non-local interactions between dark solitons in dipolar condensates
- Supersolitons: Solitonic excitations in atomic soliton chains
- Adiabatic N-soliton interactions of Bose-Einstein condensates in external potentials
- Engineering Bright Matter-Wave Solitons of Dipolar Condensates
- Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model
- Displaced dynamics of binary mixtures in linear and nonlinear optical lattices
- Collision-induced frequency shifts in bright matter-wave solitons and soliton molecules
- Interaction of a Bose-Einstein Condensate and a Superconductor via Eddy Currents
- Dynamics of a dipolar Bose-Einstein condensate in the vicinity of a superconductor