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Article
Bold Diagrammatic Monte Carlo Technique: When the Sign Problem Is Welcome
Physics Review Letters
Publication Date
2007
Abstract
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).
Disciplines
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://prl.aps.org/abstract/PRL/v99/i25/e250201
Citation Information
N Prokof'ev and B Svistunov. "Bold Diagrammatic Monte Carlo Technique: When the Sign Problem Is Welcome" Physics Review Letters Vol. 99 Iss. 25 (2007) Available at: http://works.bepress.com/nikolai_prokofev/18/