Two-dimensional vortex quantum droplets get thick
arXiv:2009.05190 · doi:10.1016/j.cnsns.2020.105536
Abstract
We study two-dimensional (2D) vortex quantum droplets (QDs) trapped by a thicker transverse confinement with a>1um. Under this circumstance, the Lee-Huang-Yang (LHY) term should be described by its original form in the three-dimensional (3D) configuration. Previous studies have demonstrated that stable 2D vortex QDs can be supported by a thin transverse confinement with a<<1um. In this case, the LHY term is described by a logarithm. Hence, two kinds of confinement features result in different mechanisms of the vortex QDs. The stabilities and characteristics of the vortex QDs must be re-identified. In the current system, we find that stable 2D vortex QDs can be supported with topological charge number up to at least 4. We reformulated their density profile, chemical potential and threshold norm for supporting the stable vortex QDs according to the new condition. Unlike the QDs under thin confinement, the QDs in the current system strongly repel each other because the LHY term features a higher-order repulsion than that of the thin confinement system. Moreover, elastic and inelastic collisions between two moving vortex QDs are studied throughout the paper. Two kinds of collisions can be characterized by exerting different values of related speed. The dynamics of the stable nested vortex QD, which is constructed by embedding one vortex QD with a smaller topological number into another vortex QD with a larger number of topological charge, can be supported by the system.
arXiv comment9pages,6 figures,to be published in Communications in Nonlinear Science and Numerical Simulation
References in corpus (29)
- Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- Observation of quantum droplets in a strongly dipolar Bose gas
- 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
- Dynamics of one-dimensional quantum droplets
- Collisions of self-bound quantum droplets
- Two-dimensional vortex quantum droplets
- Three-dimensional droplets of swirling superfluids
- Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates
- Semidiscrete quantum droplets and vortices
- Path-integral Monte Carlo study on a droplet of a dipolar Bose-Einstein condensate stabilized by quantum fluctuation
- Vortex stability in nearly two-dimensional Bose-Einstein condensates with attraction
- Quantum Bose-Bose droplets at a dimensional crossover
- Rotating binary Bose-Einstein condensates and vortex clusters in quantum droplets
- Vortices in self-bound dipolar droplets
- Dimensional crossover for the beyond-mean-field correction in Bose gases
- Scissors mode of dipolar quantum droplets of dysprosium atoms
- Metastability of quantum droplet clusters
- Symmetric and asymmetric solitons and vortices in linearly coupled two-dimensional waveguides with the cubic-quintic nonlinearity
- Symmetry breaking of quantum droplets in a dual-core trap
- Suppression of the quasi-two-dimensional quantum collapse in the attraction field by the Lee-Huang-Yang effect
- Low-Dimensional Self-Bound Quantum Rabi-Coupled Bosonic Droplets
- Equation of state of the one- and three-dimensional Bose-Bose gases
- Two-dimensional quantum droplets in dipolar Bose gases
- Singular mean-field states: A brief review of recent results
Cited by in corpus (10)
- Correlated dynamics of collective droplet excitations in a one-dimensional harmonic trap
- Semidiscrete optical vortex droplets in quasi-phase-matched photonic crystals
- Vortex-ring quantum droplets in a radially-periodic potential
- Dropleton-Soliton Crossover mediated via Trap Modulation
- Semidiscrete vortex solitons
- Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice
- Two-dimensional quantum droplets in binary quadrupolar condensates
- Traveling Bubbles and Vortex Pairs within Symmetric 2D Quantum Droplets
- Quantum droplets in two-dimensional optical lattices
- Josephson Dynamics of 2D Bose-Einstein Condensates in Dual-Core Trap: Homogeneous, Droplet-Droplet, and Vortex-Vortex Regimes