Authors Referees APS Members |
December 2007, to be published in Physical Review B1
Fermi-polaron problem: Diagrammatic Monte Carlo method for divergent sign-alternating
series
We use the Diagrammatic Monte Carlo approach to solve the problem of a single spin-down fermion resonantly interacting with the Fermi gas of spin-up particles. Our solution is important for understanding the phase diagram and properties of the BCS-BEC crossover 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 the first and characteristic example of how Monte Carlo methods can be used to simulate divergent sign-alternating diagrammatic series. © 2008 The American Physical Society.
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