Localization and spin split quantum scars in nanostructures

Abstract

Chaotic classical systems leave footprints in isolated eigenstates within their quantum mechanical counterparts, despite the diminished importance of closed periodic orbits on quantum mechanical phase spaces. Quantum scars refer to those eigenstates with strongly enhanced probability density along short periodic orbits of the corresponding classical system. Numerical calculations prove the existence and stability of quantum scars in various environments. These include spin as a purely quantum mechanical property of charge carriers. Further, coupled systems allow the control of quantum scarring through quantum tunneling into unperturbed systems. Phantom scars are found to be highly stable against perturbations and withstand different influences such as SOC or external fields. The influence of altered metrics of embedded manifolds and the influence of boundary conditions is briefly discussed. Scarred spin waves are shown to be exploitable through nano scaled quantum devices.