FORTRESS II：求解自旋轨道耦合自旋2玻色-爱因斯坦凝聚体耦合Gross-Pitaevskii方程的FORTRAN程序
FORTRESS II: FORTRAN programs for solving coupled Gross-Pitaevskii equations for spin-orbit coupled spin-2 Bose-Einstein condensate
摘要：
本文提供了一组三个OpenMP并行化的FORTRAN 90/95程序，通过求解一组五个耦合的Gross-Pitaevskii方程，采用分时傅里叶谱方法计算了自旋为2的玻色-爱因斯坦凝聚体（BEC）的基态和动力学。根据问题的性质，不失一般性，我们采用笛卡尔网格跨越三维，二维或一维空间的数值离散。为了说明软件包的准确性，只要可行，我们比较了数值基态的解决方案的完整的平均场模型与简化的标量模型。两组结果显示出极好的一致性，特别是在基态的平衡密度分布、能量和化学势方面。我们还介绍了OpenMP性能参数的测试结果，如加速比和三个代码的效率。
英文摘要：
We provide here a set of three OpenMP parallelized FORTRAN 90/95 programs to compute the ground states and the dynamics of trapped spin-2 Bose-Einstein condensates (BECs) with anisotropic spin-orbit (SO) coupling by solving a set of five coupled Gross-Pitaevskii equations using a time-splitting Fourier spectral method. Depending on the nature of the problem, without any loss of generality, we have employed the Cartesian grid spanning either three-, two-, or one-dimensional space for numerical discretization. To illustrate the veracity of the package, wherever feasible, we have compared the numerical ground state solutions of the full mean-field model with those from the simplified scalar models. The two set of results show excellent agreement, in particular, through the equilibrium density profiles, energies and chemical potentials of the ground-states. We have also presented test results for OpenMP performance parameters like speedup and the efficiency of the three codes.
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