Week 1
July 18

14:00- (A615, 6th floor of the main building)

N. Kawashima (ISSP, University of Tokyo)
Quantuam Monte Carlo algorithm based on world-lines

A brief review is given on various quantum Monte Carlo methods and their relationships. Starting from the Swendsen-Wang algorithm for the Ising model, I discuss the loop algorithm as a natural extention of the SW algorithm to quantum systems. Also discussed is the relationship of the loop algorithm to a few other important algorithms, such as the stochastic-series-expantion method and the worm algorithm. I will also mention possible further generalizations and important open problems.