3 papers
cond-mat.quant-gas2023
A finite element toolbox for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates
Georges Sadaka, Victor Kalt, Ionut Danaila +1
We present a finite element toolbox for the computation of Bogoliubov-de Gennes modes used to assess the linear stability of stationary solutions of the Gross-Pitaevskii (GP) equat…
cond-mat.quant-gas2022
Coupling Navier-Stokes and Gross-Pitaevskii equations for the numerical simulation of two-fluid quantum flows
Marc Brachet, Georges Sadaka, Zhentong Zhang +2
Numerical methods for solving the Navier-Stokes equations for classical (or normal) viscous fluids are well established. This is also the case for the Gross-Pitaevskii equation, go…
cond-mat.quant-gas2022
Identification of vortices in quantum fluids: finite element algorithms and programs
Victor Kalt, Georges Sadaka, Ionut Danaila +1
We present finite-element numerical algorithms for the identification of vortices in quantum fluids described by a macroscopic complex wave function. Their implementation using the…