Finite-frequency noise in non-Markovian systems: A Markovian embedding approach

TL;DR

This paper introduces a Markovian embedding method to compute finite-frequency quantum noise in non-Markovian systems, enabling analysis of quantum effects and reservoir interactions within a unified Markovian framework.

Contribution

The paper presents a novel approach to map non-Markovian dynamics onto Markovian systems, allowing accurate calculation of quantum noise in strongly coupled, structured reservoirs.

Findings

Successfully applied to a single electronic level with energy-dependent reservoir

Reproduces quantum effects like noise asymmetry

Handles non-Markovian effects and intra-system interactions

Abstract

I present an approach to calculate the finite-frequency quantum noise in systems strongly coupled to structured reservoirs based on the Markovian embedding. This technique consists of mapping of the non-Markovian dynamics of the original system onto the Markovian dynamics of the extended supersystem. The applicability of this method is demonstrated on a single electronic level coupled to a reservoir with an energy-dependent density of states. This model can be mapped onto an equivalent double-level system whose dynamics is governed by an exact Markovian master equation. It is demonstrated that the presented approach provides a way to describe genuinely quantum effects, such as the asymmetry of the absorption and the emission noise, as well as to deal with non-Markovian effects and intra-system interactions on equal footing.