Unified way for computing dynamics of Bose-Einstein condensates and degenerate Fermi gases
arXiv:1505.04036 · doi:10.1080/00207160.2017.1370545
Abstract
In this work we present a very simple and efficient numerical scheme which can be applied to study the dynamics of bosonic systems like, for instance, spinor Bose-Einstein condensates with nonlocal interactions but equally well works for Fermi gases. The method we use is a modification of well known Split Operator Method (SOM). We carefully examine this algorithm in the case of spinor Bose-Einstein condensate without and with dipolar interactions and for strongly interacting two-component Fermi gas. Our extension of the SOM method has many advantages: it is fast, stable, and keeps constant all the physical constraints (constants of motion) at high level.
21 pages, 7 figures
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- Fermionic quantum carpets: From canals and ridges to solitonlike structures
- Bistability of Bose-Fermi mixtures
- Collective oscillations of a two-component Fermi gas on the repulsive branch
- Modelling quantum aspects of disruption of a white dwarf star by a black hole
- Fast transport and splitting of spin-orbit-coupled spin-1 Bose-Einstein Condensates
- Dynamics of large samples of repulsive Fermi gases at nonzero temperatures
- Studying the radiation of a white dwarf star falling onto a black hole
- Competitive algorithms for calculating the ground state properties of Bose-Fermi mixtures