Non-Markovian Transmission through Two Quantum Dots Connected by a Continuum

TL;DR

This paper presents an exact analysis of non-Markovian quantum transport in a double quantum dot system connected via a continuum, revealing unique coherence effects and steady states with unequal currents.

Contribution

It introduces an exact solution demonstrating non-Markovian coherence-mediated transport and unusual steady states in a double-dot system connected by a continuum.

Findings

Demonstrates non-Markovian quantum coherence in transport

Identifies steady states with unequal source and drain currents

Shows electrons can irreversibly enter and remain in the continuum

Abstract

We consider a transport setup containing a double-dot connected by a continuum. Via an exact solution of the time-dependent Schr\"odinger equation, we demonstrate a highly non-Markovian quantum-coherence-mediated transport through this dot-continuum-dot (DCD) system, which is in contrast with the common premise since in typical case a quantum particle does not reenter the system of interest once it irreversibly decayed into a continuum (such as the spontaneous emission of a photon). We also find that this DCD system supports an unusual steady state with unequal source and drain currents, owing to electrons irreversibly entering the continuum and floating there.