23 citations · 23 across the 2 of their papers we have counts for
4 papers
Chaos-induced depletion of a Bose-Einstein condensate
Ralf Wanzenböck, Stefan Donsa, Harald Hofstätter +3
The mean-field limit of a bosonic quantum many-body system is described by (mostly) non-linear equations of motion which may exhibit chaos very much in the spirit of classical part…
An Algorithm for Computing Coefficients of Words in Expressions Involving Exponentials and its Application to the Construction of Exponential Integrators
Harald Hofstätter, Winfried Auzinger, Othmar Koch
This paper discusses an efficient implementation of the generation of order conditions for the construction of exponential integrators like exponential splitting and Magnus-type me…
Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime
Winfried Auzinger, Harald Hofstätter, Othmar Koch +2
Time dependent Schrödinger equations with conservative force field U commonly constitute a major challenge in the numerical approximation, especially when they are analysed in the…
Long-time expansion of a Bose-Einstein condensate: Can Anderson localization be observed?
Stefan Donsa, Harald Hofstätter, Othmar Koch +2
We numerically explore the long-time expansion of a one-dimensional Bose-Einstein condensate in a disorder potential employing the Gross-Pitaevskii equation. The goal is to search…