Diagrammatic Monte Carlo algorithm for the resonant Fermi gas

TL;DR

This paper introduces a diagrammatic Monte Carlo algorithm tailored for the resonant Fermi gas in the normal phase, detailing the framework, Monte Carlo moves, and ultraviolet asymptotics handling, including both self-consistent and non-self-consistent schemes.

Contribution

It presents a novel Monte Carlo algorithm specifically designed for the resonant Fermi gas, with detailed methods for ultraviolet asymptotics and different scheme implementations.

Findings

Algorithm effectively models the resonant Fermi gas.

Incorporates ultraviolet asymptotics in Monte Carlo sampling.

Provides both self-consistent and non-self-consistent schemes.

Abstract

We provide a description of a diagrammatic Monte Carlo algorithm for the resonant Fermi gas in the normal phase. Details are given on diagrammatic framework, Monte Carlo moves, and incorporation of ultraviolet asymptotics. Apart from the self-consistent bold scheme, we also describe a non-self-consistent scheme, for which the ultraviolet treatment is more involved.