FORTRESS：求解自旋轨道耦合自旋1玻色-爱因斯坦凝聚体的耦合Gross-Pitaevskii方程的FORTRAN程序
FORTRESS: FORTRAN programs for solving coupled Gross-Pitaevskii equations for spin-orbit coupled spin-1 Bose-Einstein condensate
摘要：
本文通过求解三维、准二维和准一维系统中三个耦合的Gross-Pitaevskii方程组，提出了一种简单有效的数值方法来研究自旋-轨道（SO）耦合下自旋为1的玻色-爱因斯坦凝聚体（BEC）的静态和动态性质.我们提供了一套用FORTRAN 90/95程序设计语言开发的三个代码，用户自定义"{\em option}"的虚拟和实时传播。我们提出的能量，化学势，和组分密度的基态的数值结果，并与文献中的结果进行比较。结果是铁磁和反铁磁自旋1 BEC与SO耦合和不耦合。为了提高计算速度，所有代码都可以选择OpenMP并行化。我们还提出了加速和效率的OpenMP并行化的三个代码与虚拟和实时传播的结果。
英文摘要：
Here, we present simple and efficient numerical scheme to study static and dynamic properties of spin-1 Bose-Einstein condensates (BECs) with spin-orbit (SO) coupling by solving three coupled Gross-Pitaevskii equations (CGPEs) in three-, quasi-two and quasi-one dimensional systems. We provide a set of three codes developed in FORTRAN 90/95 programming language with user defined '{\em option}' of imaginary and real-time propagation. We present the numerical results for energy, chemical potentials, and component densities for the ground state and compare with the available results from the literature. The results are presented for both the ferromagnetic and antiferromagnetic spin-1 BECs with and without SO coupling. To improve the computational speed, all the codes have the option of OpenMP parallelization. We have also presented the results for speedup and efficiency of OpenMP parallelization for the three codes with both imaginary and real-time propagation.
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