Single electron transistor strongly coupled to vibrations: Counting Statistics and Fluctuation Theorem

TL;DR

This paper analyzes the full counting statistics and fluctuation theorems of a single electron transistor strongly coupled to vibrations, revealing insights into entropy production and system information, with applications in molecular spectroscopy.

Contribution

It introduces a quantum master equation approach to derive universal and effective fluctuation theorems for a vibrationally coupled single electron transistor.

Findings

Derivation of fluctuation theorems relating to entropy production.

Recovery of Franck-Condon blockade phenomena.

Potential applications in non-invasive molecular spectroscopy.

Abstract

Using a simple quantum master equation approach, we calculate the Full Counting Statistics of a single electron transistor strongly coupled to vibrations. The Full Counting Statistics contains both the statistics of integrated particle and energy currents associated to the transferred electrons and phonons. A universal as well as an effective fluctuation theorem are derived for the general case where the various reservoir temperatures and chemical potentials are different. The first relates to the entropy production generated in the junction while the second reveals internal information of the system. The model recovers Franck-Condon blockade and potential applications to non-invasive molecular spectroscopy are discussed.