Error Bounds for Open Quantum Systems with Harmonic Bosonic Bath

TL;DR

This paper derives rigorous error bounds for the impact of bath correlation function variations on observables in open quantum systems with harmonic bosonic baths, supporting prior empirical findings.

Contribution

It provides a mathematically rigorous error estimate linking bath correlation function changes to observable differences in open quantum systems.

Findings

Error bounds for observable variations derived

Supports previous empirical results with rigorous proof

Uses diagrammatic and combinatorial methods

Abstract

We investigate the dependence of physical observable of open quantum systems with Bosonic bath on the bath correlation function. We provide an error estimate of the difference of physical observable induced by the variation of bath correlation function, based on diagrammatic and combinatorial arguments. This gives a mathematically rigorous justification of the result in [Mascherpa et al, Phys Rev Lett 2017].