A basis-set based Fortran program to solve the Gross-Pitaevskii Equation for dilute Bose gases in harmonic and anharmonic traps. Nature of problem: It is widely believed that the static properties of dilute Bose condensates, as obtained in atomic traps, can be described to a fairly good accuracy by the time-independent Gross-Pitaevskii equation. This program presents an efficient approach to solving this equation. Solution method: The solutions of the Gross-Pitaevskii equation corresponding to the condensates in atomic traps are expanded as linear combinations of simple-harmonic oscillator eigenfunctions. Thus, the Gross-Pitaevskii equation which is a second-order, nonlinear, differential equation, is transformed into a matrix eigenvalue problem. Thereby, its solutions are obtained in a self-consistent manner, using methods of computational linear algebra.
Keywords for this software
References in zbMATH (referenced in 4 articles , 1 standard article )
Showing results 1 to 4 of 4.
- Antoine, Xavier; Duboscq, Romain: GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions (2014)
- Bao, Weizhu; Marahrens, Daniel; Tang, Qinglin; Zhang, Yanzhi: A simple and efficient numerical method for computing the dynamics of rotating Bose--Einstein condensates via rotating Lagrangian coordinates (2013)
- Caliari, Marco; Rainer, Stefan: GSGPEs: a MATLAB code for computing the ground state of systems of Gross-Pitaevskii equations (2013)
- Tiwari, Rakesh Prabhat; Shukla, Alok: A basis-set based fortran program to solve the Gross-Pitaevskii equation for dilute Bose gases in harmonic and anharmonic traps (2006)