The LISE package: solvers for static and time-dependent superfluid local density approximation equations in three dimensions

TL;DR

The paper introduces the LISE package, a set of parallelized codes utilizing GPU acceleration for solving static and time-dependent superfluid local density approximation equations in three dimensions, enabling advanced simulations in nuclear physics and related fields.

Contribution

The paper presents new, fully parallelized 3D codes for static and dynamic SLDA equations, capable of modeling complex superfluid phenomena without symmetry restrictions.

Findings

Codes successfully simulate nuclear fission and heavy-ion collisions.

GPU acceleration significantly improves computational efficiency.

The framework supports diverse phenomena like vortex dynamics and quantum turbulence.

Abstract

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.