Non-degenerate Bound State Solitons in Multi-component Bose-Einstein Condensates
arXiv:1904.07439 · doi:10.1103/PhysRevE.100.022212
Abstract
We investigate non-degenerate bound state solitons systematically in multi-component Bose-Einstein condensates, through developing Darboux transformation method to derive exact soliton solutions analytically. In particular, we show that bright solitons with nodes correspond to the excited bound eigen-states in the self-induced effective quantum wells, in sharp contrast to the bright soliton and dark soliton reported before (which usually correspond to ground state and free eigen-state respectively). We further demonstrate that the bound state solitons with nodes are induced by incoherent interactions between solitons in different components. Moreover, we reveal that the interactions between these bound state solitons are usually inelastic, caused by the incoherent interactions between solitons in different components and the coherent interactions between solitons in same component. The bound state solitons can be used to discuss many different physical problems, such as beating dynamics, spin-orbital coupling effects, quantum fluctuations, and even quantum entanglement states.
References in corpus (34)
- Nonlinear Schrödinger Equation: Generalized Darboux Transformation and Rogue Wave Solutions
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- Observing the Rosensweig instability of a quantum ferrofluid
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
- Dark-Bright Solitons in Inhomogeneous Bose-Einstein Condensates
- Exact soliton solutions, shape changing collisions and partially coherent solitons in coupled nonlinear Schroedinger equations
- Generation of dark-bright soliton trains in superfluid-superfluid counterflow
- Collisions of matter-wave solitons
- Matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates
- Bright solitons in spin-orbit-coupled Bose-Einstein condensates
- Dark-dark solitons and modulational instability in miscible, two-component Bose-Einstein condensates
- Controlled formation and reflection of a bright solitary matter-wave
- Dark solitons in a two-component Bose-Einstein condensate
- Stable Solitons in Three Dimensional Free Space: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling
- Bright-Dark Soliton Complexes in Spinor Bose-Einstein Condensates
- Stability of multi-hump optical solitons
- Localized nonlinear waves in a two-mode nonlinear fiber
- Symbiotic Solitons in Heteronuclear Multicomponent Bose-Einstein condensates
- Nondegenerate solitons in Manakov system
- Three-component soliton states in spinor Bose-Einstein condensates
- Quantum fluctuations in quasi-one-dimensional dipolar Bose-Einstein condensates
- Bright solitons in coupled defocusing NLS equation supported by coupling: Application to Bose-Einstein condensation
- Dilute Fluid Governed by Quantum Fluctuations
- Realizing bright matter-wave soliton collisions with controlled relative phase
- Vector Dark-Antidark Solitary Waves in Multi-Component Bose-Einstein condensates
- Three-dimensional vortex-bright solitons in a spin-orbit coupled spin- condensate
- Generating mesoscopic Bell states via collisions of distinguishable quantum bright solitons
- Temporal-Spatial Interference Pattern During Solitons Interaction
- Beating Effects of Vector Solitons in Bose-Einstein Condensate
- Complexes of stationary domain walls in the resonantly forced Ginsburg-Landau equation
- Self-trapped quantum balls in binary Bose-Einstein condensates
- Solitons in Nonlinear Systems and Eigen-states in Quantum Wells
- Dark-dark-soliton dynamics in two density-coupled Bose-Einstein condensates
Cited by in corpus (19)
- Nondegenerate Solitons and their Collisions in Manakov System
- Darboux transformation and solitonic solution to the coupled complex short pulse equation
- Non-degenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra
- Non-degenerate multi-rogue waves and easy ways of their excitation
- Multivalley dark solitons in multicomponent Bose-Einstein condensates with repulsive interactions
- Modulation instability and non-degenerate Akhmediev breathers of Manakov equations
- Dynamics of nondegenerate solitons in long-wave short-wave resonance interaction system
- Phase-separation of vector solitons in spin-orbit coupled spin-1 condensates
- Fundamental and second-order dark soliton solutions of 2- and 3-component Manakov equations in the defocusing regime
- Nondegenerate solitons in the integrable fractional coupled Hirota equation
- Bright Matter-Wave Bound Soliton Molecules in Spin-1 Bose-Einstein Condensates with Non-autonomous Nonlinearities
- Stable multi-peak vector solitons in spin-orbit coupled spin-1 polar condensates
- Unveiling Stable One-dimensional Magnetic Solitons in Magnetic Bilayers
- Classification of Dark Solitons via Topological Vector Potentials
- Large and infinite order solitons of the coupled nonlinear Schrödinger equation
- Simulation of universal optical logic gates under energy sharing collisions of Manakov solitons and fulfillment of practical optical logic criteria
- Phase Characters of Optical Dark Solitons with the Third-order Dispersion and Delayed Nonlinear Response
- Quasi-two-dimensional soliton in a self-repulsive spin-orbit-coupled dipolar binary condensate
- Nondegenerate bright solitons in coupled nonlinear Schrödinger systems: Recent developments on optical vector solitons