Restoring Adiabatic State Transfer in Time-Modulated Non-Hermitian Systems,Physical Review Letters

当前位置： X-MOL 学术 › Phys. Rev. Lett. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Restoring Adiabatic State Transfer in Time-Modulated Non-Hermitian Systems
Physical Review Letters ( IF 8.1 ) Pub Date : 2024-09-09 , DOI: 10.1103/physrevlett.133.113802
Ievgen I. Arkhipov ₁ , Fabrizio Minganti _{2,

2} , Adam Miranowicz _{3,

3,

4} , Şahin K. Özdemir ₅ , Franco Nori _{3,

3,

6}

Affiliation

Non-Hermitian systems have attracted much interest in recent decades, driven partly by the existence of exotic spectral singularities, known as exceptional points (EPs), where the dimensionality of the system evolution operator is reduced. Among various intriguing applications, the discovery of EPs has suggested the potential for implementing a symmetric mode switch, when encircling them in a system parameter space. However, subsequent theoretical and experimental works have revealed that encirclement of EPs invariably results in asymmetric mode conversion; namely, the mode switching depends only on the winding direction but not on the initial state. This chirality arises from the failure of adiabaticity due to the complex spectrum of non-Hermitian systems. Although the chirality revealed has undoubtedly made a significant impact in the field, a realization of the originally sought symmetric adiabatic passage in non-Hermitian systems with EPs has since been elusive. In this work, we bridge this gap and theoretically demonstrate that adiabaticity, and therefore a symmetric state transfer, is achievable when dynamically winding around an EP. This becomes feasible by specifically choosing a trajectory in the system parameter space along which the corresponding evolution operator attains a real spectrum. Our findings, thus, offer a promise for advancing various wave manipulation protocols in both quantum and classical domains.

Published by the American Physical Society

2024

中文翻译：

在时间调制的非厄米特系统中恢复绝热状态转移

近几十年来，非厄米特系统引起了人们的极大兴趣，部分原因是存在奇异的光谱奇点，称为奇异点（EP），其中系统演化算子的维数降低。在各种有趣的应用中，EP 的发现表明，当将它们包围在系统参数空间中时，可以实现对称模式开关。然而，随后的理论和实验工作表明，EPs 的包围总是导致不对称模式转换;也就是说，模式切换仅取决于绕组方向，而不取决于初始状态。这种手性是由于非厄米特系统的复杂光谱而导致的绝热性失败引起的。尽管所揭示的手性无疑在该领域产生了重大影响，但最初寻求的具有 EP 的非厄米特系统中的对称绝热通道的实现一直难以捉摸。在这项工作中，我们弥合了这一差距，并从理论上证明了当动态缠绕在 EP 周围时，绝热性以及对称状态转移是可以实现的。通过在系统参数空间中专门选择一个轨迹，相应的演化算子沿着该轨迹获得实谱，这变得可行。因此，我们的研究结果为在量子和经典领域推进各种波操纵协议提供了希望。美国物理学会 2024 年出版

更新日期：2024-09-09

点击分享查看原文

点击收藏

公开下载

阅读更多本刊新发论文本刊介绍/投稿指南