Physics:Diagrammatic Monte Carlo
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Short description: Mathematical physics method
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In mathematical physics, the diagrammatic Monte Carlo method is based on stochastic summation of Feynman diagrams with controllable error bars.[1][2] It was developed by Boris Svistunov and Nikolay Prokof'ev. It was proposed as a generic approach to overcome the numerical sign problem that precludes simulations of many-body fermionic problems.[3] Diagrammatic Monte Carlo works in the thermodynamic limit, and its computational complexity does not scale exponentially with system or cluster volume.[4]
References
- ↑ Van Houcke, K.; Werner, F.; Kozik, E.; Prokof’ev, N.; Svistunov, B.; Ku, M. J. H.; Sommer, A. T.; Cheuk, L. W. et al. (2012-03-18). "Feynman diagrams versus Fermi-gas Feynman emulator" (in En). Nature Physics 8 (5): 366–370. doi:10.1038/nphys2273. ISSN 1745-2473.
- ↑ Prokof’ev, Nikolay; Svistunov, Boris (2007-12-18). "Bold Diagrammatic Monte Carlo Technique: When the Sign Problem Is Welcome". Physical Review Letters 99 (25): 250201. doi:10.1103/PhysRevLett.99.250201. PMID 18233498.
- ↑ Rossi, R.; Prokof'ev, N.; Svistunov, B.; Van Houcke, K.; Werner, F. (2017-04-01). "Polynomial complexity despite the fermionic sign". EPL (Europhysics Letters) 118 (1): 10004. doi:10.1209/0295-5075/118/10004. ISSN 0295-5075.
- ↑ Houcke, Kris Van; Kozik, Evgeny; Prokof'ev, N.; Svistunov, B. (2010). "Diagrammatic Monte Carlo" (in en). Physics Procedia 6: 95–105. doi:10.1016/j.phpro.2010.09.034. ISSN 1875-3892.
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