Perspective on Non-Hermitian Elastodynamics

Johan Christensen, Michael R. Haberman, Ankit Srivastava, Guoliang Huang, Gal Shmuel
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Abstract

The manipulation of mechanical waves is a long-standing challenge for scientists and engineers, as numerous devices require their control. The current forefront of research in the control of classical waves has emerged from a seemingly unrelated field, namely, non-Hermitian quantum mechanics. By drawing analogies between this theory and those of classical systems, researchers have discovered phenomena that defy conventional intuition and have exploited them to control light, sound, and elastic waves. Here, we provide a brief perspective on recent developments, challenges and intricacies that distinguish non-Hermitian elastodynamics from optics and acoustics. We close this perspective with an outlook on potential directions such as topological phases in non-Hermitian elastodynamics and broken Hermitian symmetry in materials with electromomentum couplings.
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非ermitian 弹性力学透视
操纵机械波是科学家和工程师面临的一项长期挑战,因为许多设备都需要对其进行控制。目前对经典波控制研究的前沿来自于一个看似毫不相干的领域,即非赫米提量子力学。通过将这一理论与经典系统的理论进行类比,研究人员发现了一些有悖于传统直觉的现象,并利用它们来控制光波、声波和弹性波。在此,我们将简要介绍非赫米提弹性力学不同于光学和声学的最新发展、挑战和复杂性。最后,我们展望了非赫米提弹性力学中的拓扑阶段和具有动量耦合的材料中被打破的赫米提对称性等潜在方向。
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