Dicke Effect in the Tunnel Current through two Double Quantum Dots

TL;DR

This paper investigates how a shared phonon environment influences the stationary current in two interacting double quantum dots, revealing effects akin to Dicke super- and subradiance and proposing a phonon-mediated current control mechanism.

Contribution

It introduces a detailed analysis of phonon-mediated interactions in double quantum dots, demonstrating current modulation and entanglement effects not previously characterized.

Findings

Current can be increased or decreased by phonon-mediated interactions.

Dissipation leads to collective emission effects similar to Dicke super- and subradiance.

An inelastic current switch mechanism is proposed for controlling current between dots.

Abstract

We calculate the stationary current through two double quantum dots which are interacting via a common phonon environment. Numerical and analytical solutions of a master equation in the stationary limit show that the current can be increased as well as decreased due to a dissipation mediated interaction. This effect is closely related to collective, spontaneous emission of phonons (Dicke super- and subradiance effect), and the generation of a `cross-coherence' with entanglement of charges in singlet or triplet states between the dots. Furthermore, we discuss an inelastic `current switch' mechanism by which one double dot controls the current of the other.