Generic transverse stability of kink structures in atomic and optical nonlinear media with competing attractive and repulsive interactions
arXiv:2405.19607 · doi:10.1103/PhysRevLett.134.123402
Abstract
We demonstrate the existence and stability of one-dimensional (1D) topological kink configurations immersed in higher-dimensional bosonic gases and nonlinear optical setups. Our analysis pertains, in particular, to the two- and three-dimensional extended Gross-Pitaevskii models with quantum fluctuations describing droplet-bearing environments but also to the two-dimensional cubic-quintic nonlinear Schrödinger equation containing higher-order corrections to the nonlinear refractive index. Contrary to the generic dark soliton transverse instability, the kink structures are generically robust under the interplay of low-amplitude attractive and high-amplitude repulsive interactions. A quasi-1D effective potential picture dictates the existence of these defects, while their stability is obtained numerically and analytically through linearization analysis and direct dynamics in the presence of external fluctuations showcasing their unprecedented resilience. These generic (across different models) findings should be detectable in current cold atom and optics experiments, offering insights towards controlling topological excitations.
arXiv comment5 pages, 3 figures
References in corpus (50)
- Many-Body Physics with Ultracold Gases
- Feshbach Resonances in Ultracold Gases
- Vortices in a Bose-Einstein Condensate
- Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
- Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- Self-bound quantum droplets in atomic mixtures
- Bose-Einstein condensation in quasi2D trapped gases
- Ultradilute low-dimensional liquids
- Interatomic collisions in a tightly confined Bose gas
- Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
- Dipolar physics: A review of experiments with magnetic quantum gases
- Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation
- Observation of Quantum Droplets in a Heteronuclear Bosonic Mixture
- New states of matter with fine-tuned interactions: quantum droplets and dipolar supersolids
- Dilute Quantum Droplets
- Two-dimensional vortex quantum droplets
- Direct imaging of a digital-micromirror device for configurable microscopic optical potentials
- Quantum Gases in Optical Boxes
- Feshbach resonances in ultracold K(39)
- Stability of two-dimensional spatial solitons in nonlocal nonlinear media
- Collective Excitations of a One-Dimensional Quantum Droplet
- The Discrete Frenet Frame, Inflection Point Solitons And Curve Visualization with Applications to Folded Proteins
- Dimensional crossover for the beyond-mean-field correction in Bose gases
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Observation of magnetic solitons in two-component Bose-Einstein condensates
- Stability of dark solitons in three dimensional dipolar Bose-Einstein condensates
- Crossed ratchet effects for magnetic domain wall motion
- Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity
- A dual-species Bose-Einstein condensate with attractive interspecies interactions
- Analogies between dark solitons in atomic Bose-Einstein condensates and optical systems
- Dynamical symmetry and breathers in a two-dimensional Bose gas
- Avoiding Infrared Catastrophes in Trapped Bose-Einstein Condensates
- Solitary waves in a quantum droplet-bearing system
- The variational approximation for two-dimensional quantum droplets
- Interactions and dynamics of one-dimensional droplets, bubbles and kinks
- Towards Quantitative Classification of Folded Proteins in Terms of Elementary Functions
- Spinor-Induced Instability of Kinks, Holes and Quantum Droplets
- Soliton transverse instabilities in nonlocal nonlinear media
- Dark quantum droplets and solitary waves in beyond-mean-field Bose-Einstein condensate mixtures
- Vortex Lattices in Strongly Confined Quantum Droplets
- Motion of domain walls and the dynamics of kinks in the magnetic Peierls potential
- Unidimensional reduction of the 3D Gross-Pitaevskii equation with two- and three-body interactions
- Surface lattice kink solitons
- Observation and analysis of creation, decay, and regeneration of annular soliton clusters in a lossy cubic-quintic optical medium
- Dark solitons dynamics and snake instability in superfluid Fermi gases trapped by an anisotropic harmonic potential
- Stability and dynamics of nonlinear excitations in a two-dimensional droplet-bearing environment
- Dragging A Defect in a Droplet Bose-Einstein Condensate
- Observation of self-patterned defect formation in atomic superfluids -- from ring dark solitons to vortex dipole necklaces
- Mobile Kink Solitons in a Van der Waals Charge-Density-Wave Layer
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- Phases and dynamics of an impurity immersed in one-dimensional quantum droplets
- Bosonic quantum Hall droplets in rapidly rotating two-dimensional Bose-Einstein condensates