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arXiv 1702.07583cond-mat.mes-hallastro-ph.EPphysics.ao-phphysics.flu-dynquant-ph
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赤道波的拓扑起源

Topological Origin of Equatorial Waves

Pierre Delplace, J. B. Marston, Antoine Venaille

摘要:

拓扑学揭示了从凝聚态到人工晶格的各种物理系统中单向边缘波的出现。在地球物理流中观察到的波对扰动也是鲁棒的,这表明拓扑结构的作用。我们显示了两个著名的赤道被困波称为开尔文和柳井模式,由于地球的旋转,打破了时间反演对称的拓扑起源。通过值为$2$的第一陈数编码的体庞加莱波模式的非平凡结构保证了这些波的存在。这个不变量表明海洋和大气波与拓扑绝缘体具有相同的基本性质,并且拓扑在地球气候系统中发挥着意想不到的作用。

英文摘要:

Topology sheds new light on the emergence of unidirectional edge waves in a variety of physical systems, from condensed matter to artificial lattices. Waves observed in geophysical flows are also robust to perturbations, which suggests a role for topology. We show a topological origin for two celebrated equatorially trapped waves known as Kelvin and Yanai modes, due to the Earth's rotation that breaks time-reversal symmetry. The non-trivial structure of the bulk Poincaré wave modes encoded through the first Chern number of value $2$ guarantees existence for these waves. This invariant demonstrates that ocean and atmospheric waves share fundamental properties with topological insulators, and that topology plays an unexpected role in the Earth climate system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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