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Phys. Rev. B 77, 020408(R) (2008) [4 pages]

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

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Nikolay Prokof’ev and Boris Svistunov
Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA and Russian Research Center “Kurchatov Institute,” 123182 Moscow, Russia

Received 6 November 2007; revised 17 December 2007; published 22 January 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.77.020408
DOI:
10.1103/PhysRevB.77.020408
PACS:
05.30.Fk, 02.70.Ss, 05.10.Ln