Monte Carlo approach to phase transitions in quantum systems

@inproceedings{Kawashima2009MonteCA,
  title={Monte Carlo approach to phase transitions in quantum systems},
  author={Naoki Kawashima and Yasuyuki Kato},
  year={2009}
}
We propose algorithms of the path-ingetral-based quantum Monte Carlo simulation, which is otherwise prohibitively slow. While the basic idea is the loop-cluster update, there are some important 'tricks' that are vital to make the simulation practical. In the present paper, we show two such techniques and their successful applications to the two-dimensional SU(N) Heisenberg model and the three-dimensional Bose Hubbard model. In the former, we obtain a new type of the valence-bond-solid state for… Expand
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