Antiscarring in Chaotic Quantum Wells
Abstract
Chaos plays a crucial role in numerous natural phenomena, but its quantum nature has remained large elusive. One intriguing quantum-chaotic phenomenon is the scarring of a single-particle wavefunction, where the quantum probability density is enhanced in the vicinity of a classical periodic orbit. These quantum scars illustrate the quantum suppression of classical chaos, offering a unique way to explore the classical-quantum relationship beyond conventional limits. In this study, we establish an ergodicity theorem for slacking a group of adjacent eigenstates, revealing the aspect of antiscarring -- the reduction of probability density along a periodic orbit generating the corresponding scars. We thereafter apply these two concepts to variational scars in a disordered quantum well, and finally discuss their broader implications, suggesting potential experimental approaches to observe this phenomenon.
Keywords
Cite
@article{arxiv.2403.18081,
title = {Antiscarring in Chaotic Quantum Wells},
author = {J. Keski-Rahkonen and A. M. Graf and E. J. Heller},
journal= {arXiv preprint arXiv:2403.18081},
year = {2024}
}