LISE软件包：三维静态和时间相关超流局部密度近似方程的求解程序
The LISE package: solvers for static and time-dependent superfluid local density approximation equations in three dimensions
摘要：
核实现的密度泛函理论（DFT）是目前唯一的微观框架适用于整个核景观。基于Kohn-Sham方法的DFT方法在超流系统中的推广，即超流局域密度近似（SLDA）及其在含时情况下的推广，即含时超流局域密度近似（TDSLDA），已被广泛用于描述核物理、中子星地壳和冷原子系统中的各种静态和动态问题。本文给出了在三维坐标空间中求解静态和含时SLDA方程的程序，该程序不受对称性的限制。这些代码通过消息传递接口（MPI）库完全并行化，并利用图形处理单元（GPU）加速执行。动态代码具有检查点/重启能力，并且对于初始条件，可以使用任何广义斯莱特行列式类型的波函数。代码可以描述大量的物理问题：核裂变，重离子碰撞，量子化涡旋与核星壳中的核的相互作用，由时间相关的外部场对超流费米子系统的激发，量子冲击波，畴壁的产生和传播，Anderson-Bogoliubov-Higgs模式的动力学，碎裂凝聚物的动力学，涡旋环动力学，量子涡旋的产生和动力学，它们的交叉和重组以及量子湍流的初始阶段。
英文摘要：
Nuclear implementation of the density functional theory (DFT) is at present the only microscopic framework applicable to the whole nuclear landscape. The extension of DFT to superfluid systems in the spirit of the Kohn-Sham approach, the superfluid local density approximation (SLDA) and its extension to time-dependent situations, time-dependent superfluid local density approximation (TDSLDA), have been extensively used to describe various static and dynamical problems in nuclear physics, neutron star crust, and cold atom systems. In this paper, we present the codes that solve the static and time-dependent SLDA equations in three-dimensional coordinate space without any symmetry restriction. These codes are fully parallelized with the message passing interface (MPI) library and take advantage of graphic processing units (GPU) for accelerating execution. The dynamic codes have checkpoint/restart capabilities and for initial conditions one can use any generalized Slater determinant type of wave function. The code can describe a large number of physical problems: nuclear fission, collisions of heavy ions, the interaction of quantized vortices with nuclei in the nuclear star crust, excitation of superfluid fermion systems by time dependent external fields, quantum shock waves, domain wall generation and propagation, the dynamics of the Anderson-Bogoliubov-Higgs mode, dynamics of fragmented condensates, vortex rings dynamics, generation and dynamics of quantized vortices, their crossing and recombinations and the incipient phases of quantum turbulence.
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