Effects of scarring on quantum chaos in disordered quantum wells

TL;DR

This paper investigates how local perturbations and magnetic fields influence quantum chaos and scarring in disordered quantum wells, revealing strong perturbation-induced scarring even in classically chaotic systems.

Contribution

It provides new insights into the effects of perturbations and magnetic fields on quantum scarring and energy level statistics in disordered quantum wells.

Findings

Perturbation-induced scarring is strong in classically chaotic systems.

Quantum systems show mixed eigenvalue statistics despite classical chaos.

External magnetic fields influence the degree of quantum scarring.

Abstract

The suppression of chaos in quantum reality is evident in quantum scars, i.e., in enhanced probability densities along classical periodic orbits, providing opportunities in controlling quantum transport in nanoscale quantum systems. Here, we focus on the energy level statistics of perturbed two-dimensional quantum systems exhibiting recently discovered, strong perturbation-induced quantum scarring. In particular, we study the effect of local perturbations and an external magnetic field on the eigenvalue statistics and scarring. Energy spectra are analyzed to investigate the chaoticity of the quantum system in the context of the Bohigas-Giannoni-Schmidt conjecture. We demonstrate that perturbation-induced scarring is strong in classically fully chaotic systems that, however, represent mixed eigenvalue statistics in the quantum case.