Related papers: Antiscarring in Chaotic Quantum Wells

Antiscarring in Chaotic Quantum Wells

URL: http://arxiv.org/abs/2403.18081v1
Date: Tue, 26 Mar 2024 20:06:00 GMT
Title: Antiscarring in Chaotic Quantum Wells
Authors: J. Keski-Rahkonen, A. M. Graf, E. J. Heller,
Abstract summary: We study 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.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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.

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