Quantum dynamics and transport in a double well system

TL;DR

This paper investigates quantum dynamics and transport in a double well system, focusing on modeling complex geometrical effects and quantum stirring, and introduces a practical approximation method for analyzing such devices.

Contribution

It proposes a two-level system model for a ring-shaped device and introduces a neighboring level approximation applicable beyond TLS assumptions.

Findings

Model captures non-trivial geometrical effects in quantum transport.

Neighboring level approximation remains valid beyond TLS modeling.

Provides insights into quantum stirring in complex topologies.

Abstract

The simplest one-dimensional model for the studying of non-trivial geometrical effects is a ring shaped device which is formed by joining two arms. We explore the possibility to model such a system as a two level system (TLS). Of particular interest is the analysis of quantum stirring, where it is not evident that the topology is properly reflected within the framework of the TLS modeling. On the technical side we provide a practical "neighboring level" approximation for the analysis of such quantum devices, which remains valid even if the TLS modeling does not apply.