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README.md

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[![codecov](https://codecov.io/gh/numericaleft/Lehmann.jl/branch/main/graph/badge.svg?token=Uia7j4DnR9)](https://codecov.io/gh/numericaleft/Lehmann.jl)
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This package provides subroutines to represent and manipulate Green's functions in the imaginary time or the Matsubara-frequency domain.
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This package provides subroutines representing and manipulating Green's functions in the imaginary time or the Matsubara-frequency domain.
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Imaginary-time Green's functions encode the thermodynamic properties of quantum many-body systems. They are typically very singular and hard to deal with at low temperatures in numerical calculations.
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Imaginary-time Green's functions encode the thermodynamic properties of quantum many-body systems. They are typically singular and hard to deal with at low temperatures in numerical calculations.
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## Features
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We provide the following components to ease the numerical manipulation of the Green's functions:
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- Fast and accurate Fourier transform between the imaginary-time domain and the Matsubara-frequency domain with a cost $O(\\log(1/T)log(1/\\epsilon))$ and an accuracy $\\sim 100\epsilon$.
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- Fast and accurate Green's function interpolation with a cost $O(\\log(1/T)log(1/\\epsilon))$ and accuracy $\\sim 100\\epsilon$.
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- Fast and accurate Green's function interpolation with a cost $O(\\log(1/T)\\log(1/\\epsilon))$ and accuracy $\\sim 100\\epsilon$.
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- Fit a Green's function with noise.
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