Quantum Monte Carlo simulations are considered numerically exact methods to
study phase transitions in a variety of strongly correlated many-body systems
such as quantum magnets or ultracold bosonic atoms.
References:
- W. Krauth, Introduction to Monte Carlo algorithms,
(http://www.lps.ens.fr/~krauth/).
- M. Troyer and F. F. Assaad, Quantum Monte Carlo, preprint.
- M. Troyer, F. Alet, S. Trebst, S. Wessel, Non-local updates for
quantum Monte Carlo simulations, preprint physics/0306128,
AIP Conf. Proc. 690, 156 (2003).
- D. M. Ceperley, Path integrals in the theory of condensed helium,
Rev. Mod. Phys. 67, 279 (1995).
Further reading can be found at the
ALPS webpages, in particluar the talks
by Simon Trebst (The worm algorithm), Fabien Alet
(The directed loop algorithm), and Stefan Wessel
(Wang-Landau sampling), which can be found
here.
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