Interaction of One-Dimensional Quantum Droplets with Potential Wells and Barriers
arXiv:2302.13367 · doi:10.1016/j.cnsns.2023.107457
Abstract
We address static and dynamical properties of one-dimensional (1D) quantum droplets (QDs) under the action of local potentials in the form of narrow wells and barriers. The QDs are governed by the 1D Gross-Pitaevskii equation including the mean-field cubic repulsive term and the beyond-mean-field attractive quadratic one. In the case of the well represented by the delta-functional potential, three exact stable solutions are found for localized states pinned to the well. The Thomas-Fermi approximation for the well and the adiabatic approximation for the collision of the QD with the barrier are developed too. Collisions of incident QDs with the wells and barriers are analyzed in detail by means of systematic simulations. Outcomes, such as fission of the moving QD into transmitted, reflected, and trapped fragments, are identified in relevant parameter planes. In particular, a counter-intuitive effect of partial or full rebound of the incident QD from the potential well is studied in detail and qualitatively explained.
13 pages, 32 figures; To be published in Communions in Nonlinear Science and Numerical Simulation
References in corpus (39)
- Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- Self-bound quantum droplets in atomic mixtures
- Self-bound droplets of a dilute magnetic quantum liquid
- Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid
- Ultradilute low-dimensional liquids
- Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
- Observation of Quantum Droplets in a Heteronuclear Bosonic Mixture
- Dynamics of one-dimensional quantum droplets
- Collisions of self-bound quantum droplets
- Collective Excitations of a One-Dimensional Quantum Droplet
- Enhanced Quantum Reflection of Matter-Wave Solitons
- Dimensional crossover for the beyond-mean-field correction in Bose gases
- Resonant trapping in the transport of a matter-wave soliton through a quantum well
- Bright matter-wave soliton collisions at narrow barriers
- Soliton-based matter wave interferometer
- Quantum dynamics of atomic bright solitons under splitting and re-collision, and implications for interferometry
- Matter-wave soliton interferometer based on a nonlinear splitter
- Quantum reflection of bright solitary matter-waves from a narrow attractive potential
- Collisions of bright solitary matter waves
- Splitting bright matter-wave solitons on narrow potential barriers: quantum to classical transition and applications to interferometry
- Scattering bright solitons: quantum versus mean-field behavior
- Scattering and Trapping of Nonlinear Schroedinger Solitons in External Potentials
- Suppression of the quasi-two-dimensional quantum collapse in the attraction field by the Lee-Huang-Yang effect
- An impurity in a heteronuclear two-component Bose mixture
- Quantum droplets of quasi-one-dimensional dipolar Bose-Einstein condensates
- Particle-wave duality in quantum tunneling of a bright soliton
- Attraction centers and PT-symmetric delta-functional dipoles in critical and supercritical self-focusing media
- Investigation of Quantum Droplet: An Analytical Approach
- Dropleton-Soliton Crossover mediated via Trap Modulation
- Bosonic impurity in a one-dimensional quantum droplet in the Bose-Bose mixture
- Revisiting a stability problem of two-component droplets
- Soliton interferometry with very narrow barriers obtained from spatially dependent dressed states
- Impurities in quasi-one-dimensional droplets of binary Bose mixtures
- Nonlinear Scattering of a Bose-Einstein Condensate on a Rectangular Barrier
- Manifestation of relative phase in dynamics of two interacting Bose-Bose droplets
- Reflectionless potentials and resonant scattering of flat-top and thin-top solitons
- Interactions of spatial solitons with fused couplers
- Splitting of two-component solitary waves from collisions with narrow potential barriers
Cited by in corpus (10)
- Interactions and dynamics of one-dimensional droplets, bubbles and kinks
- Spectrum and quench-induced dynamics of spin-orbit coupled quantum droplets
- Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice
- Localization and splitting of a quantum droplet with a potential defect
- Dynamics of Bright Soliton Under Cubic-Quartic Interactions in Quasi One-Dimensional Geometry
- Droplet-gas phases and their dynamical formation in particle imbalanced mixtures
- Quantum-droplet interferometry
- Phases and dynamics of an impurity immersed in one-dimensional quantum droplets
- Fragmentation Temperature of 1D and 3D Quantum Droplets in a BEC Mixture
- Dynamics of Quantum Droplets in a Quasi-one-dimensional Framework: An Analytical Approach