Rate equations for quantum transport in multi-dot systems

TL;DR

This paper derives new rate equations for quantum transport in multi-dot systems, incorporating quantum coherence, and extends the equations to describe both coherent and incoherent transport, generalizing optical Bloch equations.

Contribution

The paper introduces a generalized set of rate equations for multi-dot quantum transport that include quantum coherence effects and extend existing models.

Findings

Quantum coherence affects current in multi-dot systems.

New rate equations generalize optical Bloch equations.

Coherent and incoherent transport are both describable with the new framework.

Abstract

Starting with the many-body Schr\"odinger equation we derive new rate equations for resonant transport in quantum dots linked by ballistic channels with high density of states. The charging and the Pauli exclusion principle effects were taken into account. It is shown that the current in such a system displays quantum coherence effects, even if the dots are away one from another. A comparative analysis of quantum coherence effects in coupled and separated dots is presented. The rate equations are extended for description of coherent and incoherent transport in arbitrary multi-dot systems. It is demonstrated that new rate equations constitute a generalization of the well-known optical Bloch equations.