Skip to main content
Article
Fermi-polaron problem: Diagrammatic Monte Carlo method for divergent sign-alternating series
Physics Review B
  • Nikolai Prokof'ev, University of Massachusetts - Amherst
  • Boris Svistunov, University of Massachusetts - Amherst
Publication Date
2008
Abstract
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.
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://prb.aps.org/abstract/PRB/v77/i2/e020408
Citation Information
Nikolai Prokof'ev and Boris Svistunov. "Fermi-polaron problem: Diagrammatic Monte Carlo method for divergent sign-alternating series" Physics Review B Vol. 77 Iss. 2 (2008)
Available at: http://works.bepress.com/nikolai_prokofev/51/