Variational scarring in open two-dimensional quantum dots

Abstract

Quantum scars have recently been directly visualized in graphene quantum dots [Nature (London) 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.