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

Abstract

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.

arXiv comment4 pages, 7 figures

References in corpus (5)

• Polaron Problem by Diagrammatic Quantum Monte Carlo
• Normal state of highly polarized Fermi gases: simple many-body approaches
• Normal state of a polarized Fermi gas at unitarity
• Zero Temperature Thermodynamics of Asymmetric Fermi Gases at Unitarity
• Fermi surfaces and Luttinger's theorem in paired fermion systems

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