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Bosonic Nevanlinna Analytic Continuation

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arxiv 2305.03449 v1 pith:O3B56L3O submitted 2023-05-05 quant-ph cond-mat.quant-gascond-mat.str-el

classification quant-phcond-mat.quant-gascond-mat.str-el
keywords continuationnevanlinnaanalyticbosonsfermionsmethodaccuratelyallowing
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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.

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  1. Approaching the Inverse Problem: Toward Lattice QCD Calculations of Inclusive Hadronic Quantities

    hep-lat 2025-01 conditional novelty 4.0 of 10

    For lattice QCD spectral reconstruction, the Wertevorrat from Nevanlinna-Pick interpolation bounds the analytic-continuation uncertainty, and in a model test this bound falls roughly exponentially with the number of d...

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