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Diagrammatic Monte Carlo

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Abstract
Diagrammatic Monte Carlo (DiagMC) is a numeric technique that allows one to calculate quantities specified in terms of diagrammatic expansions, the latter being a standard tool of many-body quantum statistics. The sign problem that is typically fatal to Monte Carlo approaches, appears to be manageable with DiagMC. Starting with a general introduction to the principles of DiagMc, we present a detailed description of the DiagMC scheme for interacting fermions (Hubbard model), as well as the first illustrative results for the equations of state.
Keywords
strongly correlated fermions, Diagrammatic Monte Carlo, QUANTUM, SIMULATIONS, POLARON

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Citation

Please use this url to cite or link to this publication:

Chicago
Van Houcke, Kris, Evgeny Kozik, N Prokof’ev, and B Svistunov. 2010. “Diagrammatic Monte Carlo.” In Physics Procedia, 6:95–105. Amsterdam, The Netherlands: Elsevier Science.
APA
Van Houcke, K., Kozik, E., Prokof’ev, N., & Svistunov, B. (2010). Diagrammatic Monte Carlo. Physics Procedia (Vol. 6, pp. 95–105). Presented at the 21st Workshop of Computer Simulations Studies in Condensed Matter Physics, Amsterdam, The Netherlands: Elsevier Science.
Vancouver
1.
Van Houcke K, Kozik E, Prokof’ev N, Svistunov B. Diagrammatic Monte Carlo. Physics Procedia. Amsterdam, The Netherlands: Elsevier Science; 2010. p. 95–105.
MLA
Van Houcke, Kris, Evgeny Kozik, N Prokof’ev, et al. “Diagrammatic Monte Carlo.” Physics Procedia. Vol. 6. Amsterdam, The Netherlands: Elsevier Science, 2010. 95–105. Print.
@inproceedings{3234513,
  abstract     = {Diagrammatic Monte Carlo (DiagMC) is a numeric technique that allows one to calculate quantities specified in terms of diagrammatic expansions, the latter being a standard tool of many-body quantum statistics. The sign problem that is typically fatal to Monte Carlo approaches, appears to be manageable with DiagMC. Starting with a general introduction to the principles of DiagMc, we present a detailed description of the DiagMC scheme for interacting fermions (Hubbard model), as well as the first illustrative results for the equations of state.},
  author       = {Van Houcke, Kris and Kozik, Evgeny and Prokof'ev, N and Svistunov, B},
  booktitle    = {Physics Procedia},
  issn         = {1875-3892},
  keyword      = {strongly correlated fermions,Diagrammatic Monte Carlo,QUANTUM,SIMULATIONS,POLARON},
  language     = {eng},
  location     = {Athens, GA, USA},
  pages        = {95--105},
  publisher    = {Elsevier Science},
  title        = {Diagrammatic Monte Carlo},
  url          = {http://dx.doi.org/10.1016/j.phpro.2010.09.034},
  volume       = {6},
  year         = {2010},
}

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