Bosonic Nevanlinna Analytic Continuation
Kosuke Nogaki, Hiroshi Shinaoka
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.
Topics & Concepts
Analytic continuationContinuationBosonRealization (probability)Hyperbolic functionFermionTangentFunction (biology)Analytic functionPhysicsMathematical analysisMathematicsQuantum mechanicsComputer scienceStatisticsProgramming languageGeometryEvolutionary biologyBiologyGyrotron and Vacuum Electronics ResearchSuperconducting and THz Device TechnologyMicrowave and Dielectric Measurement Techniques