16.447 TFlops and 159-Billion-dimensional Exact-diagonalization for Trapped Fermion-Hubbard Model on the Earth Simulator
16.447 TFlops and 159-Billion-dimensional Exact-diagonalization for Trapped Fermion-Hubbard Model on the Earth Simulator
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地球模拟器上捕获费米子-哈伯德模型的 16.447 TFlops 和 1590 亿维精确对角化
DOI：
10.1109/sc.2005.1
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
M. Machida
中科院分区：
文献类型：
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作者：
S. Yamada;Toshiyuki Imamura;M. Machida
为了研究在光学晶格上加载的被困的原子费米气体中超流体的可能性，我们为地球模拟器上的捕获的哈伯德模型实施了精确的对角线化代码。比较两种对角线化算法，我们发现预处理的共轭梯度（PCG）方法的性能是1.5倍，是1.5倍，因为PCG方法可以更有效地隐藏通信的通信方法。因此，PCG方法在512个节点上显示了16.447 Tflops（占峰的50.2％）。另一方面，我们通过使用常规的兰开斯方法成功地解决了159亿维矩阵。据我们所知，这个维度是世界记录。数值结果表明，在排斥相互作用下，特定的受限系统特异性超流体类型的类型。
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.