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Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series
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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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Cited by 1 Pith paper
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Rabi Oscillations of Strongly Driven Bose Polarons
A trial-wavefunction calculation predicts anomalous Rabi oscillations and a steady-state magnetization for strongly driven Bose polarons when attractive and repulsive polaron branches coexist.
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