Document Detail


Bold diagrammatic Monte Carlo technique: when the sign problem is welcome.
MedLine Citation:
PMID:  18233498     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
We introduce a Monte Carlo scheme for sampling a bold-line diagrammatic series specifying an unknown function in terms of itself. The range of convergence of this bold(-line) diagrammatic Monte Carlo (BMC) technique is significantly broader than that of a simple iterative scheme for solving integral equations. With the BMC technique, a moderate "sign problem" turns out to be an advantage in terms of the convergence of the process. For an illustrative purpose, we solve the one-particle s-scattering problem. As an important application, we obtain the T matrix for a Fermi polaron (one spin-down particle interacting with the spin-up fermionic sea).
Authors:
Nikolay Prokof'ev; Boris Svistunov
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Publication Detail:
Type:  Journal Article     Date:  2007-12-18
Journal Detail:
Title:  Physical review letters     Volume:  99     ISSN:  0031-9007     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2007 Dec 
Date Detail:
Created Date:  2008-01-31     Completed Date:  2008-03-11     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  250201     Citation Subset:  -    
Affiliation:
Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA.
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