Unified way for computing dynamics of Bose–Einstein condensates and degenerate Fermi gases
Krzysztof Gawryluk, Tomasz Karpiuk, Mariusz Gajda +2 more
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 (BEC) with non-local 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 F=1 spinor BEC 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.
arXiv:1505.04036•International Journal of Computer Mathematics•Aug 22, 2017•23 citations