Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series

Details Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series

2007-07-28

arxiv.org/abs/0707.4259v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 7 figures

Scientific paper

10.1103/PhysRevB.77.020408

Diagrammatic Monte Carlo approach is applied to a problem of a single spin-down fermion resonantly interacting with the sea of ideal spin-up fermions. On one hand, we develop a generic, sign-problem tolerant, method of exact numerical solution of polaron-type models. On the other hand, our solution is important for understanding the phase diagram and properties of the BCS-BEC crossover in the strongly imbalanced regime. This is the first, and possibly characteristic, example of how the Monte Carlo approach can be applied to a divergent sign-alternating diagrammatic series.

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