Variational Scarring in Open Two-Dimensional Quantum Dots

TL;DR

This paper investigates variational quantum scars in open two-dimensional quantum dots, demonstrating their robustness and potential for controlling electron transport in mesoscopic systems.

Contribution

It introduces the concept of variational scarring in open quantum dots and shows how controlled perturbations can modulate quantum transport.

Findings

Quantum scars are resilient in open quantum dots.

Controlled perturbations can tune electronic transmission.

Insights into scarring's role in mesoscopic transport.

Abstract

Quantum scars have recently been directly visualized in graphene quantum dots (Nature 635, 841 (2024)), revealing their resilience and influence on electron dynamics in mesoscopic systems. Here, we examine variational scarring in two-dimensional quantum dots and demonstrate that these states remain robust even in an open system. We show that controlled perturbations enable modulation of electronic transmission via scarred states, presenting a viable approach to tuning quantum transport. These findings provide insights into the role of scarring in mesoscopic transport and open pathways for experimental realization in quantum devices.