Bold Diagrammatic Monte Carlo Technique: When the Sign Problem Is Welcome
Nikolay V. Prokof'ev, Boris V. Svistunov
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).
arXiv:cond-mat/0702555•Physical Review Letters•Dec 18, 2007•147 citations