Fermi-polaron problem: Diagrammatic Monte Carlo method for divergent sign-alternating series

By N. Prokof’ev, B. Svistunov. 2007

216 citations recorded by the source corpus.

We use the diagrammatic Monte Carlo approach to solve the problem of a single spin-down fermion resonantly interacting with a Fermi gas of spin-up particles. Our solution is important for understanding the phase diagram and properties of the crossover from the BCS regime to the Bose-Einstein condensate in the strongly imbalanced regime. On the technical side, we develop a generic sign-problem-tolerant method for exact numerical solution of polaron-type models. This is a characteristic example of how Monte Carlo methods can be used to simulate divergent sign-alternating diagrammatic series.

Subfields: Condensed Matter Physics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/96aff2f1942bb5a512e4f1e7152e3e28d1ab4e71

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In Condensed Matter Physics

1. Christophe Mora
2. F. Chevy

Citations in the corpus

• Ultra-cold polarized Fermi gases (2010, background): “the associated series in kF was converging quite fast [107, 109].”