The WY representation for products of householder matrices
SIAM Journal on Scientific and Statistical Computing - Papers from the Second Conference on Parallel Processing for Scientific Computin
SIAM Journal on Scientific Computing
14.9 TFLOPS three-dimensional fluid simulation for fusion science with HPF on the Earth Simulator
Proceedings of the 2002 ACM/IEEE conference on Supercomputing
Proceedings of the 2002 ACM/IEEE conference on Supercomputing
Proceedings of the 2002 ACM/IEEE conference on Supercomputing
A 15.2 TFlops Simulation of Geodynamo on the Earth Simulator
Proceedings of the 2004 ACM/IEEE conference on Supercomputing
Proceedings of the 2003 ACM/IEEE conference on Supercomputing
SIAM Journal on Scientific Computing
SC '05 Proceedings of the 2005 ACM/IEEE conference on Supercomputing
High Performance Computing for Computational Science - VECPAR 2008
PDCN '08 Proceedings of the IASTED International Conference on Parallel and Distributed Computing and Networks
International Journal of High Performance Computing Applications
Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis
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In order to study quantum many-body problems, we develop two matrix diagonalization codes, which solve only the ground state and all quantum states, respectively. The target model in both codes is the Hubbard model with confinement potential which describes an atomic Fermi gas loaded on an optical lattice and partly High-Tc cuprate superconductor. For the former code, we obtain 18.692TFlops (57% of the peak) as the best performance on the Earth Simulator when calculating the ground state of 100-billion dimensional matrix. From these large-scale calculations, we find atomic-scale inhomogeneous superfluid state which is now a challenging subject for physicists. For the latter code, we succeed in solving the matrix whose dimension is 375,000 with locally 24.6TFlops (75% of the peak). The calculations reveal that a change from Schrodinger's cat to classical like one can be controlled by tuning the interaction. This is a marked contrast to the general concept.