自旋轨道相互作用下超声导波的量子化拓扑相位

IF 3.8 2区 物理与天体物理 Q1 ACOUSTICS
Sourav Banerjee
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引用次数: 0

摘要

声波和超声波最近被描述为具有可量化的自旋态。随时间演变的偏振矢量携带波在介质中传播的自旋状态的信息,这通常是不可观测的。超声导波的量子模拟自旋态主要表现为非零自旋角动量(SAM),其在波程上的积分给出了由于极性改变而获得的拓扑相位。拓扑几何相位为利用超声导波定量材料的损伤状态提供了新的机会。本文表明,如果激活特定自旋轨道相互作用(SOI)驱动的致动,超声波导波必须表现出可量化的拓扑现象。通过诱导人工产生的SOI,可以从基本守恒量计算出SAM密度。它们揭示了与材料无关但与极性相关的波传播行为,并表现为一种拓扑现象。本文从诺特电流和三维SOI的基本原理出发,求出了超声导波的SAM密度。结果表明,极性驱动表征可以量化,拓扑几何相位可以计算。利用各向同性介质中不同象限的两个镜像损伤,发现SOI诱导的SAM和极性驱动的拓扑相位具有定性和定量的差异,可以作为超声无损检测的参数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quantized topological phase of ultrasonic guided wave with spin orbit interaction
Acoustic and ultrasonic waves have recently been described to have quantifiable spin states. Polarization vectors that evolve over time carry information of the spin state of wave propagates in a media, that is generally non observable. Quantum analogous spin state of ultrasonic guided wave is primarily manifest nonzero spin angular momentum (SAM) and its integration over the wave path gives the topological phase acquired due to the modified polarity. The topological geometric phase gives a new opportunity to quantify damage state in materials using ultrasonic guided wave that were usually considered difficult. In this article it is shown that ultrasonic guided waves must demonstrate quantifiable topological phenomena, naturally, if specific spin orbit interaction (SOI) driven actuation is activated. By inducing artificially created SOI, SAM density can be calculated from the fundamental conserved quantity. They reveal material independent but polarity dependent behavior of wave propagation and manifest as a topological phenomenon. In this article SAM density of ultrasonic guided waves is found from the fundamentals of Noether current and three-dimensional SOI. It is shown that polarity driven manifestation of SAM can be quantified, and topological geometric phase can be calculated. Utilizing two mirrored damages in different quadrants in an isotropic media that are equivalent to each other and are indistinguishable, it is shown that SOI induced SAM and polarity driven topological phase have qualitative and quantitative differences and could be used as a parameter for ultrasonic NDE.
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来源期刊
Ultrasonics
Ultrasonics 医学-核医学
CiteScore
7.60
自引率
19.00%
发文量
186
审稿时长
3.9 months
期刊介绍: Ultrasonics is the only internationally established journal which covers the entire field of ultrasound research and technology and all its many applications. Ultrasonics contains a variety of sections to keep readers fully informed and up-to-date on the whole spectrum of research and development throughout the world. Ultrasonics publishes papers of exceptional quality and of relevance to both academia and industry. Manuscripts in which ultrasonics is a central issue and not simply an incidental tool or minor issue, are welcomed. As well as top quality original research papers and review articles by world renowned experts, Ultrasonics also regularly features short communications, a calendar of forthcoming events and special issues dedicated to topical subjects.
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