SC13 Home > SC13 Schedule > SC13 Presentation - Loop Cluster Monte Carlo Simulation of Quantum Magnets Based on Global Union-Find Algorithm

SCHEDULE: NOV 16-22, 2013

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Loop Cluster Monte Carlo Simulation of Quantum Magnets Based on Global Union-Find Algorithm

SESSION: Research Poster Reception

EVENT TYPE: Posters, Electronic Posters, and Education Posters

TIME: 5:15PM - 7:00PM

AUTHOR(S):Synge Todo, Haruhiko Matsuo, Hideyuki Shitara

ROOM:Mile High Pre-Function

ABSTRACT:
A large-scale parallel loop cluster algorithm quantum Monte Carlo simulation on the K computer is presented. On 24,576 nodes of the K computer, one Monte Carlo update of the world-line configuration of the spin-1/2 antiferromagnetic Heisenberg chain with 2,621,440 spins at inverse temperature 310,690 is executed in about 8.62 seconds, in which global union-find cluster identification on a graph of about 1.1 trillion vertices and edges is performed. By combining the nonlocal global updates and the large-scale parallelization on the K computer, we have virtually achieved about 10^17-fold speed-up. By using the highly parallelized quantum Monte Carlo algorithm, we have estimated successfully the magnitude of the first excitation gap and the antiferromagnetic correlation length of the spin-4antiferromagnetic Heisenberg chain for the first time as 0.000799 +/- 0.000005 and 10,400 +/- respectively.

Chair/Author Details:

Synge Todo - University of Tokyo

Haruhiko Matsuo - Research Organization for Information Science and Technology

Hideyuki Shitara - Fujitsu Limited

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