Programs in Physics & Physical Chemistry
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|Manuscript Title: A basis-set based Fortran program to solve the Gross-Pitaevskii Equation for dilute Bose gases in harmonic and anharmonic traps.|
|Authors: Rakesh Prabhat Tiwari, Alok Shukla|
|Program title: bose.x|
|Catalogue identifier: ADWZ_v1_0|
Distribution format: tar.gz
|Journal reference: Comput. Phys. Commun. 174(2006)966|
|Programming language: mostly Fortran 90.|
|Computer: PC, Sun Ultra 10, HP Alpha, IBM.|
|Operating system: Linux, Solaris, Tru64, AIX.|
|Keywords: Bose-Einstein condensation, Gross-Pitaevskii Equation, Anharmonic potential, Numerical Solutions.|
|PACS: 02.70.-c, 02.70.Hm, 03.75.Hh, 03.75.Nt.|
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.
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.
Less than a minute for the examples.
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