Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method

Jin, Shi; Bulgac, Aurel; Roche, Kenneth; Wlazłowski, Gabriel

doi:10.1103/PhysRevC.95.044302

Title: Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method

Journal Article · 03 April 2017 · Physical Review C

DOI: https://doi.org/10.1103/PhysRevC.95.044302 · OSTI ID:1544399

Jin, Shi ^[1]; Bulgac, Aurel ^[1]; Roche, Kenneth ^[2]; Wlazłowski, Gabriel ^[3]

Univ. of Washington, Seattle, WA (United States). Dept. of Physics
Univ. of Washington, Seattle, WA (United States). Dept. of Physics; Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Warsaw Univ. of Technology (Poland). Faculty of Physics; Univ. of Washington, Seattle, WA (United States). Dept. of Physics

Self-consistent approaches to superfluid many-fermion systems in three dimensions (and their subsequent use in time-dependent studies) require a large number of diagonalizations of very large dimension Hermitian matrices, which results in enormous computational costs. We present an approach based on the shifted conjugate-orthogonal conjugate-gradient (COCG) Krylov method for the evaluation of the Green's function, from which we subsequently extract various densities (particle number, spin, current, kinetic energy, anomalous, etc.) of a nuclear system. The approach eschews the determination of the quasiparticle wave functions and their corresponding quasiparticle energies, which never explicitly appear in the construction of a single-particle Hamiltonian or needed for the calculation of various static nuclear properties, which depend only on densities. As benchmarks this study presents calculations for nuclei with axial symmetry, including the ground state of spherical (magic or semimagic) and axially deformed nuclei, the saddle point in the $$^{240}Pu$$ constrained fission path, and a vortex in the neutron star crust, and demonstrate the superior efficiency of the shifted COCG Krylov method over traditional approaches.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231; AC05-00OR22725; FG02-97ER41014

OSTI ID:: 1544399

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 4 Vol. 95; ISSN PRVCAN; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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