Gpelab, a matlab toolbox to solve grosspitaevskii equations i. Gsgpes is a matlabgnu octave suite of programs for the computation of the ground state of systems of grosspitaevskii equations. Solver for the twodimensional gross pitaevskii equation. Gpelab is a free matlab toolbox for modeling and numerically solving large classes of systems of grosspitaevskii equations that arise in the physics of bose. We study the numerical solution of the timedependent gross pitaevskii equation gpe describing a boseeinstein condensate bec at zero or very low temperature.
Extracting data from a graph using grabit matlab file. Comparing three numerical solvers of the grosspitaevskii. Grosspitaevskii equation gpe for boseeinstein condensates. Pdf gpelab, a matlab toolbox to solve grosspitaevskii.
Gpelab, a matlab toolbox to solve grosspitaevskii equations ii. Gsgpes is a matlab gnu octave suite of programs for the computation of the ground state of systems of grosspitaevskii equations. The toolbox provides a variety of matlab classes for simulations based on the grosspitaevskii equation, the multiconfigurational. Decay for travelling waves in the grosspitaevskii equation. It can compute the ground state in the defocusing case, for any number of equations with harmonic or quasiharmonic trapping potentials, in spatial dimension one, two or three. Abstract this paper presents gpelab gross pitaevskii equation laboratory, an advanced easytouse and flexible matlab toolbox for numerically simulating many complex physics situations related to boseeinstein condensation. In preparation for the numerics we scale the 3d gross pitaevskii equation and obtain a fourparameter model. Gpelab grosspitaevskii equation laboratory is a flexible matlab toolbox devoted to the numerical computation of stationary and. Numerical solutions to the grosspitaevskii equation for bose.
Bec is the minimization of the grosspitaevskii gp energy functional with. This function solves the gross pitaevskii equation in a twodimensional space. The inverse problem for the grosspitaevskii equation. This paper presents gpelab gross pitaevskii equation laboratory, an advanced easytouse and flexible matlab toolbox for numerically simulating many complex physics situations related to boseeinstein condensation. The model equation that gpelab solves is the grosspitaevskii equation.
Singularity formation and collapse in the attractive gross. The model equation that gpelab solves is the gross pitaevskii equation. The gross pitaevskii equation, also called the nonlinear schr. In this section the matlab code is presented that was used to solve the gpe. In what follows, students will learn how to use the ndsolve command of mathematica. This paper presents gpelab grosspitaevskii equation laboratory, an advanced easytouse and flexible matlab toolbox for numerically simulating many.
Comparing three numerical solvers of the gross pitaevskii equation posted on 03 february 2016. Gpelab, an open source matlab toolbox for the numerical. Numerical solution of the grosspitaevskii equation for. Computation of ground states of the grosspitaevskii. Computer physics computer physics communications 00 2014. Gpelab1 grosspitaevskii equation laboratory is a flexible matlab toolbox devoted to the numerical computation of stationary and dynamical solutions of 1d 2d. It may be exploited to simulate the evolution of boseeinstein condensate in a static external potential, or to calculate the groundstate using the imaginary time evolution.
1107 1410 290 118 836 1383 1353 424 1205 1080 53 799 483 414 1291 1195 896 151 373 134 1167 898 1288 74 184 1434 757 541 871 1192 1348 705 1434 905 899 374 714 1409 1202