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Coordinate-Space Hartree-Fock-Bogoliubov Solvers for Super fluid Fermi Systems in Large Boxes

Journal Article · · Journal of Physics. Conference Series
 [1];  [2];  [3];  [4];  [2];  [2];  [2]
  1. Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computer Science and Mathematics Division
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computer Science and Mathematics Division; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Chemistry
  4. Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division; Univ. of Warsaw (Poland)
The self-consistent Hartree-Fock-Bogoliubov problem in large boxes can be solved accurately in the coordinate space with the recently developed solvers HFB-AX (2D) and MADNESS-HFB (3D). This is essential for the description of superfluid Fermi systems with complicated topologies and significant spatial extend, such as fissioning nuclei, weakly-bound nuclei, nuclear matter in the neutron star rust, and ultracold Fermi atoms in elongated traps. The HFB-AX solver based on B-spline techniques uses a hybrid MPI and OpenMP programming model for parallel computation for distributed parallel computation, within a node multi-threaded LAPACK and BLAS libraries are used to further enable parallel calculations of large eigensystems. The MADNESS-HFB solver uses a novel multi-resolution analysis based adaptive pseudo-spectral techniques to enable fully parallel 3D calculations of very large systems. In this work we present benchmark results for HFB-AX and MADNESS-HFB on ultracold trapped fermions.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21). Scientific Discovery through Advanced Computing (SciDAC)
Grant/Contract Number:
AC05-00OR22725; FC02-09ER41583; FG02-96ER40963
OSTI ID:
1567303
Alternate ID(s):
OSTI ID: 22084355
Journal Information:
Journal of Physics. Conference Series, Journal Name: Journal of Physics. Conference Series Vol. 402; ISSN 1742-6588
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

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Fast multiresolution methods for density functional theory in nuclear physics journal July 2009
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Local-density-functional theory for superfluid fermionic systems: The unitary gas journal October 2007
Competition between normal superfluidity and Larkin-Ovchinnikov phases of polarized Fermi gases in elongated traps journal August 2010
Concomitant modulated superfluidity in polarized Fermi gases journal February 2011
Deformed coordinate-space Hartree-Fock-Bogoliubov approach to weakly bound nuclei and large deformations journal December 2008
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Coordinate-space Hartree-Fock-Bogoliubov description of superfluid Fermi systems journal June 2009

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