Telegraph noise in Markovian master equation for electron transport through molecular junctions

TL;DR

This paper develops a theoretical method to analyze how telegraph noise affects quantum electron transport in molecular junctions, providing deterministic equations for stochastic processes and applying them to different transport regimes.

Contribution

It introduces a novel approach using Novikov's functional method to solve Markovian master equations with telegraph noise in quantum transport.

Findings

Telegraph noise influences transport properties in molecular junctions.

The method effectively models stochastic effects in quantum transport.

Results apply to resonant-level and polaronic regimes.

Abstract

We present a theoretical approach to solve Markovian master equation for quantum transport with stochastic telegraph noise. Considering probabilities as functionals of a random telegraph process we use the Novikov's functional method to convert stochastic master equation to a set of deterministic differential equations. The equations are then solved in the Laplace space and the expression for the probability vector averaged over ensemble of realisations of stochastic process is obtained. We apply the theory to study manifestations of telegraph noise in transport properties of molecular junctions. We consider the quantum electron transport in a resonant-level molecule as well as polaronic regime transport in a molecular junction with electron-vibration interaction.