High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series

We introduce a simple determinant diagrammatic Monte Carlo algorithm to compute the ground-state properties of a particle interacting with a Fermi sea through a zero-range interaction. The fermionic sign does not cause any fundamental problem when going to high diagram orders, and we reach order \(N...

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Bibliographic Details
Published in:arXiv.org 2020-01
Main Authors: K Van Houcke, Werner, F, Rossi, R
Format: Article
Language:English
Subjects:
Algorithms
Computer simulation
Conformal mapping
Polarons
Online Access:Get full text
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Summary:We introduce a simple determinant diagrammatic Monte Carlo algorithm to compute the ground-state properties of a particle interacting with a Fermi sea through a zero-range interaction. The fermionic sign does not cause any fundamental problem when going to high diagram orders, and we reach order \(N=30\). The data reveal that the diagrammatic series diverges exponentially as \((-1/R)^{N}\) with a radius of convergence \(R
ISSN:2331-8422
DOI:10.48550/arxiv.1911.01345