Bosonic Nevanlinna Analytic Continuation

Abstract

Analytical continuation (AC) connects theoretical calculations and experimentally measurable quantities. The recently proposed Nevanlinna AC method is capable of accurately reproducing the sharp features of spectral functions at high frequencies while maintaining the causality of the response function. However, their use is currently limited to fermions. Here, we present an extension of this method to bosons using the hyperbolic tangent trick, allowing us to transform bosons into auxiliary fermions to which the Nevanlinna analytic continuation can be applied.

arXiv comment2 pages, 1 figure

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• Reconstructing lattice QCD spectral functions with stochastic pole expansion and Nevanlinna analytic continuation
• Nevanlinna.jl: A Julia implementation of Nevanlinna analytic continuation
• Spectral functions of the strongly interacting 3D Fermi gas
• TRIQS/Nevanlinna: Implementation of the Nevanlinna Analytic Continuation method for noise-free data
• Barycentric rational function approximation made simple: A fast analytic continuation method for Matsubara Green's functions
• Heating and cooling in self-consistent many-body simulations
• High-temperature series expansion of the dynamic Matsubara spin correlator
• Spin liquid phase in the Hubbard model: Luttinger-Ward analysis of the slave-rotor formalism