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Diagrammatic Monte Carlo

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that precludes simulations of many-body fermionic problems. Diagrammatic Monte Carlo works in the thermodynamic limit, and its computational complexity does not scale exponentially with system or cluster volume.
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Van Houcke, K.; Werner, F.; Kozik, E.; Prokof’ev, N.; Svistunov, B.; Ku, M. J. H.; Sommer, A. T.; Cheuk, L. W.; Schirotzek, A. (2012-03-18). "Feynman diagrams versus Fermi-gas Feynman emulator".
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Rossi, R.; Prokof'ev, N.; Svistunov, B.; Van Houcke, K.; Werner, F. (2017-04-01). "Polynomial complexity despite the fermionic sign".
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Prokof’ev, Nikolay; Svistunov, Boris (2007-12-18). "Bold Diagrammatic Monte Carlo Technique: When the Sign Problem Is Welcome".
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Houcke, Kris Van; Kozik, Evgeny; Prokof'ev, N.; Svistunov, B. (2010). "Diagrammatic Monte Carlo".
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Index

mathematical physics
Feynman diagrams
Boris Svistunov
Nikolay Prokof'ev
numerical sign problem
arXiv
1110.3747
doi
10.1038/nphys2273
ISSN
1745-2473
S2CID
53412117
arXiv
cond-mat/0702555
doi
10.1103/PhysRevLett.99.250201
PMID
18233498
S2CID
42616665
arXiv
1703.10141
doi
10.1209/0295-5075/118/10004
ISSN
0295-5075
S2CID
17929942
arXiv

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