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

When viewing the Technical Program schedule, on the far righthand side is a column labeled "PLANNER." Use this planner to build your own schedule. Once you select an event and want to add it to your personal schedule, just click on the calendar icon of your choice (outlook calendar, ical calendar or google calendar) and that event will be stored there. As you select events in this manner, you will have your own schedule to guide you through the week.

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

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

Add to iCal  Click here to download .ics calendar file

Add to Outlook  Click here to download .vcs calendar file

Add to Google Calendarss  Click here to add event to your Google Calendar