A basis-set based Fortran program to solve the Gross–Pitaevskii equation for dilute Bose gases in harmonic and anharmonic traps

Abstract
Inhomogeneous boson systems, such as the dilute gases of integral spin atoms in low-temperature magnetic traps, are believed to be well described by the Gross–Pitaevskii equation (GPE). GPE is a nonlinear Schrödinger equation which describes the order parameter of such systems at the mean field level. In the present work, we describe a Fortran 90 computer program developed by us, which solves the GPE using a basis set expansion technique. In this technique, the condensate wave function (order...

Title of program: bose.x
Catalogue Id: ADWZ_v1_0

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.

Versions of this program held in the CPC repository in Mendeley Data
ADWZ_v1_0; bose.x; 10.1016/j.cpc.2005.10.014

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要
非均匀玻色子系统，例如低温磁阱中整自旋原子的稀薄气体，普遍认为可通过格罗斯-皮塔耶夫斯基方程（Gross–Pitaevskii equation, GPE）进行良好描述。GPE是一类非线性薛定谔方程，可在平均场层面描述此类系统的序参量。在本研究中，我们介绍了一款自行开发的Fortran 90计算机程序，该程序采用基组展开技术求解GPE。在此技术框架下，凝聚态波函数（序参……

程序名称：bose.x
目录编号：ADWZ_v1_0

问题本质
人们普遍认为，原子阱中得到的稀薄玻色凝聚体的静态性质，可以通过不含时格罗斯-皮塔耶夫斯基方程以相当高的精度进行描述。本程序提供了一种求解该方程的高效方法。

该程序存放在Mendeley数据的CPC知识库中的版本为：ADWZ_v1_0; bose.x; 10.1016/j.cpc.2005.10.014

本程序源自贝尔法斯特女王大学维护的CPC程序库（1969-2019年）