Prominent interference peaks in the dephasing Anderson model

TL;DR

This paper investigates the transient interference peaks in the dephasing Anderson model, providing an analytic understanding of their emergence during the transition from localized states to uniform distribution.

Contribution

It introduces an analytic framework to explain the growth and decay of interference peaks in the dephasing Anderson model.

Findings

Interference peaks emerge transiently during the evolution.

Analytic expressions describe peak dynamics.

Peaks decay as the system approaches uniform distribution.

Abstract

The Anderson model with decoherence features a temporal evolution from localized eigenstates to a uniform spatial distribution bar any interference features. We discuss the growth and decay of pronounced interference peaks on transient time-scales and develop an analytic understanding for the emergence of these peaks.