Stationary and dynamical properties of one-dimensional quantum droplets
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.
- Publication:
-
Physics Letters A
- Pub Date:
- December 2019
- DOI:
- 10.1016/j.physleta.2019.125980
- arXiv:
- arXiv:1909.09789
- Bibcode:
- 2019PhLA..38325980O
- Keywords:
-
- Quantum droplet;
- Soliton;
- Bose-Einstein condensate;
- Quantum fluctuations;
- Nonlinear Sciences - Pattern Formation and Solitons;
- Condensed Matter - Quantum Gases
- E-Print:
- 14 pages, 5 figures, submitted to Physics Letters A