Stationary and dynamical properties of one-dimensional quantum droplets
arXiv:1909.09789 · doi:10.1016/j.physleta.2019.125980
Abstract
The dynamics of quantum droplets in 1D is analyzed on the basis of the variational approach (VA). It is shown that the VA based on the super-Gaussian function gives a good approximation of stationary states. The period of small oscillations of the perturbed droplet is obtained. It is found numerically that oscillations are almost undamped for many periods. Based on the VA, an existence of stable localized states for different combinations of signs of nonlinearities is demonstrated.
14 pages, 5 figures, submitted to Physics Letters A
References in corpus (6)
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
- Dynamics of one-dimensional quantum droplets
- Quantum Bose-Bose droplets at a dimensional crossover
- Symmetry breaking of quantum droplets in a dual-core trap
- Quantum solitons in spin-orbit-coupled Bose-Bose mixtures
Cited by in corpus (22)
- The variational approximation for two-dimensional quantum droplets
- Correlated dynamics of collective droplet excitations in a one-dimensional harmonic trap
- Spinor-Induced Instability of Kinks, Holes and Quantum Droplets
- Breathing mode in two-dimensional binary self-bound Bose gas droplets
- Ground-state Properties and Bogoliubov Modes of a Harmonically Trapped One-Dimensional Quantum Droplet
- Bosonic impurity in a one-dimensional quantum droplet in the Bose-Bose mixture
- Quantum droplets in three-dimensional Bose-Einstein condensates
- Collective excitations in two-dimensional harmonically trapped quantum droplets
- Effects of quantum fluctuations on macroscopic quantum tunneling and self-trapping of BEC in a double well trap
- Quasi-one-dimensional harmonically trapped quantum droplets
- The Effective Single-mode model of a Binary Boson Mixture in the Quantum Droplet Region
- Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice
- Kink-like Solitons in Quantum Droplet
- Phases and dynamics of quantum droplets in the crossover to two-dimensions
- Multipole quantum droplets in quasi-one-dimensional asymmetric mixtures
- Double-flattop quantum droplets in low-dimensional Bose-Bose mixtures
- Formations and dynamics of two-dimensional spinning asymmetric quantum droplets controlled by a PT-symmetric potential
- One-dimensional asymmetrically interacting quantum droplets in Bose-Bose mixtures
- Droplet-gas phases and their dynamical formation in particle imbalanced mixtures
- Quantum-droplet interferometry
- Josephson Dynamics of 2D Bose-Einstein Condensates in Dual-Core Trap: Homogeneous, Droplet-Droplet, and Vortex-Vortex Regimes
- Modulational instability and quantum droplets in a two-dimensional Bose-Einstein condensate