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Title: 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 Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC)
Grant/Contract Number:
AC05-00OR22725; FC02-09ER41583; FG02-96ER40963
OSTI ID:
1567303
Journal Information:
Journal of Physics. Conference Series, Vol. 402; Conference: 23. International Conference on Computational Physics, Gatlinburg, TN (United States), 16-20 Oct 2011; ISSN 1742-6588
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

References (15)

Coordinate-space Hartree-Fock-Bogoliubov description of superfluid Fermi systems journal June 2009
Deformed coordinate-space Hartree-Fock-Bogoliubov approach to weakly bound nuclei and large deformations journal December 2008
Modeling nuclear “pasta” and the transition to uniform nuclear matter with the 3D Skyrme-Hartree-Fock method at finite temperature: Core-collapse supernovae journal May 2009
Competition between normal superfluidity and Larkin-Ovchinnikov phases of polarized Fermi gases in elongated traps journal August 2010
Quasiparticle continuum and resonances in the Hartree-Fock-Bogoliubov theory journal August 2011
Monopole strength function of deformed superfluid nuclei journal October 2011
Local-density-functional theory for superfluid fermionic systems: The unitary gas journal October 2007
Fast multiresolution methods for density functional theory in nuclear physics journal July 2009
MADNESS applied to density functional theory in chemistry and nuclear physics journal July 2007
A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators journal January 1993
Adaptive Solution of Partial Differential Equations in Multiwavelet Bases journal October 2002
Numerical operator calculus in higher dimensions journal July 2002
Multiresolution quantum chemistry: Basic theory and initial applications journal December 2004
Pairing and Phase Separation in a Polarized Fermi Gas journal January 2006
Concomitant modulated superfluidity in polarized Fermi gases journal February 2011

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On fusing recursive traversals of K-d trees conference January 2016