Dynamics of nonlinear-Schroedinger breathers in a potential trap
arXiv:1804.09775 · doi:10.1103/PhysRevE.97.052204
Abstract
We consider the evolution of the 2-soliton (breather) of the nonlinear Schroedinger equation on a semi-infinite line with the zero boundary condition and a linear potential, which corresponds to the gravity field in the presence of a hard floor. This setting can be implemented in atomic Bose-Einstein condensates, and in a nonlinear planar waveguide in optics. In the absence of the gravity, repulsion of the breather from the floor leads to its splitting into constituent fundamental solitons, if the initial distance from the floor is smaller than a critical value; otherwise, the moving breather persists. In the presence of the gravity, the breather always splits into a pair of "co-hopping" fundamental solitons, which may be frequency-locked in the form of a quasi-breather, or unlocked, forming an incoherent pseudo-breather. Some essential results are obtained in an analytical form, in addition to the systematic numerical investigation.
Physical Review E, in press
References in corpus (20)
- Feshbach Resonances in Ultracold Gases
- The Quench Action
- Breather soliton dynamics in microresonators
- Controlled formation and reflection of a bright solitary matter-wave
- Analytic results for a quantum quench from free to hard-core one dimensional bosons
- A Potential of Interaction between Two- and Three-Dimensional Solitons
- Propagation of a quantum fluid of light in a cavityless nonlinear optical medium: General theory and response to quantum quenches
- Matter-wave soliton interferometer based on a nonlinear splitter
- Quantum quenches to the attractive one-dimensional Bose gas: exact results
- Theory of defect production in nonlinear quench across a quantum critical point
- Jump-defects in the nonlinear Schrodinger model and other non-relativistic field theories
- Resonant nonlinearity management for nonlinear-Schrödinger solitons
- Inter-mode breather solitons in optical microresonators
- Control of planar nonlinear guided waves and spatial solitons with a left-handed medium
- Dissociation of one-dimensional matter-wave breathers due to quantum many-body effects
- One-dimensional Bose gas dynamics: breather relaxation
- Holding spatial solitons in a pumped cavity with the help of nonlinear potentials
- Spatial control of the competition between self-focusing and self-defocusing nonlinearities in one- and two-dimensional systems
- Higher-order quantum bright solitons in Bose-Einstein condensates show truly quantum emergent behavior
- Metastability versus collapse following a quench in attractive Bose-Einstein condensates