Analytic continuation from limited noisy Matsubara data

This note proposes new algorithms for estimating spectral distribution from limited noisy Matsubara data. We consider both the cases of the spectral distribution with a sparse or a continuous support. In both cases, the proposed algorithm first constructs an accurate approximation of the Matsubara d...

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Bibliographic Details
Published in:Journal of computational physics Vol. 469; p. 111549
Main Author: Ying, Lexing
Format: Journal Article
Language:English
Published: Cambridge Elsevier Inc 15.11.2022
Elsevier Science Ltd
Subjects:
Algorithms
Analytic continuation
Computational physics
Conformal mapping
Prony's method
Rational approximation
Rational approximation
Prony's method
Analytic continuation
ISSN:0021-9991, 1090-2716
Online Access:Get full text
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Summary:This note proposes new algorithms for estimating spectral distribution from limited noisy Matsubara data. We consider both the cases of the spectral distribution with a sparse or a continuous support. In both cases, the proposed algorithm first constructs an accurate approximation of the Matsubara data, uses a novel conformal map to transform the domain, and applies Prony's method to estimate the spectral distribution. Numerical results are provided to demonstrate the performance of the algorithms.
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content type line 14
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2022.111549