Quantum coherence of the molecular states and their corresponding currents in nanoscale Aharonov-Bohm interferometers

TL;DR

This paper investigates quantum coherence and AB phase oscillations in nanoscale Aharonov-Bohm interferometers with double quantum dots, analyzing steady-state and transient currents to understand quantum state manipulation.

Contribution

It extends previous experimental analysis by exploring transient transport currents and their relation to quantum state parity, providing insights for quantum state reconstruction and control.

Findings

Bonding state currents are nearly identical across energy configurations.

AB phase influences transient current components differently based on state parity.

The study offers methods to manipulate quantum states via magnetic flux.

Abstract

By considering a nanoscale Aharonov-Bohm (AB) interferometer containing a parrallel-coupled double dot coupled to the source and drain electrodes, we investigate the AB phase oscillations of transport current via the bonding and antibonding state channels. The results we obtained justify the experimental analysis given in [Phys. Rev. Lett. \textbf{106}, 076801 (2011)] that bonding state currents in different energy configurations are almost the same. On the other hand, we extend the analysis to the transient transport current components flowing through different channels, to explore the effect of the parity of bonding and antibonding states on the AB phase dependence of the corresponding current components in the transient regime. The relations of the AB phase dependence between the quantum states and the associated current components are analyzed in details, which provides useful information for the reconstruction of quantum states through the measurement of the transport current in such systems. With the coherent properties in the quantum dot states as well as in the transport currents, we also provide a way to manipulate the bonding and antibonding states by the AB magnetic flux.