Paper Info
Title
16.447 TFlops and 159-Billion-dimensional Exact-diagonalization for Trapped Fermion-Hubbard Model on the Earth Simulator
Abstract
In order to study a possibility of superfluidity in trapped atomic Fermi gases loaded on optical lattices, we implement an exact diagonalization code for the trapped Hubbard model on the Earth Simulator. Comparing two diagonalization algorithms, we find that the performance of the preconditioned conjugate gradient (PCG) method is 1.5 times superior to the conventional Lanczos one since the PCG method can conceal the communication overhead much more efficiently. Consequently, the PCG method shows 16.447 TFlops (50.2% of the peak) on 512 nodes. On the other hand, we succeed in solving a 159-billion-dimensional matrix by using the conventional Lanczos method. To our knowledge, this dimension is a world-record. Numerical results reveal that an unconventional type of superfluidity specific to the confined system develops under repulsive interaction.
Year
DOI
Venue
2005
10.1109/SC.2005.1
SC
Keywords
Field
DocType
159-billion-dimensional matrix,pcg method,earth simulator,trapped atomic fermi gas,exact diagonalization code,diagonalization algorithm,trapped hubbard model,159-billion-dimensional exact-diagonalization,trapped fermion-hubbard model,conventional lanczos method,conventional lanczos,pcg method shows,physics,hubbard model,electrons,protons,optical lattice,lattices,earth,neutrons
Conjugate gradient method,Lanczos resampling,Superfluidity,Hubbard model,Lattice (order),Computer science,Simulation,Fermion,Matrix (mathematics),Atom optics
Conference
ISBN
Citations 
PageRank 
1-59593-061-2
14
1.44
References 
Authors
6
3
Name
Order
Citations
PageRank
Susumu Yamada1369.54
Toshiyuki Imamura29522.21
Masahiko Machida3349.76