Intrinsic coherence dynamics and phase localization in Aharonov-Bohm Interferometers

TL;DR

This paper investigates the real-time electron coherence dynamics in double-dot Aharonov-Bohm interferometers, revealing phase localization phenomena that influence measurable occupation numbers in nonequilibrium quantum transport.

Contribution

It provides an exact solution to the quantum state evolution, uncovering phase localization behavior in electron coherence under magnetic flux in nonequilibrium conditions.

Findings

Electron coherence phase localizes to ±π/2

Phase localization occurs across all magnetic flux values

Observable occupation numbers reflect phase localization

Abstract

The nonequilibrium real-time dynamics of electron coherence is explored in the quantum transport through the double-dot Aharonov-Bohm interferometers. We solve the exact master equation to find the exact quantum state of the device, from which the changes of the electron coherence through the magnetic flux in the nonequilibrium transport processes is obtained explicitly. We find that the relative phase between the two charge states of the double dot localizes to $\frac{\pi}{2}$ or $-\frac{\pi}{2}$ for all different magnetic flux. This nontrivial phase localization process can be manifested in the measurable occupation numbers.