Dynamical Phases in the Full Counting Statistics of the Resonant-Level Model

TL;DR

This paper introduces a thermodynamic formalism to analyze the full counting statistics of charge transfer in a quantum dot system, revealing phase transition analogues and a mapping to current measurements across various device configurations.

Contribution

It presents a novel thermodynamic approach to identify dynamical phases in charge transport and establishes a mapping between FCS and current measurements in different device setups.

Findings

Existence of equilibrium-like phase transitions in charge transfer statistics.

Mapping between FCS and current measurements across different coupling strengths.

Insights into dot occupation conditioned on transported charge.

Abstract

We present a thermodynamic formalism to study the full counting statistics (FCS) of charge transport through a quantum dot coupled to two leads in the resonant-level model. We show that a close analogue of equilibrium phase transitions exists for the statistics of transferred charge; by tuning an appropriate `counting field', crossovers to different dynamical phases are possible. Our description reveals a mapping between the FCS of a given device and current measurements over a range of devices with different dot-lead coupling strengths. Further insight into features in the FCS is found by studying the occupation of the dot conditioned on the transported charge between the leads.