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Dr. Yun Jing from Pen State University will be presenting “Acoustic analog of condensed matter problems.” Acoustic  lattices  have  proven  to  be  a  robust  experimental  platform  for showcasing quantum mechanical phenomena on a macroscopic scale. In this presentation, I will illustrate examples of acoustic analogs of condensed matter problems, with a particular focus on those intertwined with topological physics. I will start by delving into the origins of the connection between acoustics and quantum mechanics, drawing parallels between their governing equations and introducing a foundational acoustic system – coupled acoustic cavities, which is the building block of many acoustic lattice designs possessing topological phases. I will demonstrate that, with proper design, this model interestingly can exhibit chiral symmetry, a feature that is crucial for emulating condensed matter problems. Expanding on this, I will extend the coupled acoustic cavity model to acoustic lattices, showcasing their capacity to manifest topological higher-order corner modes. These lattices further reveal symmetry-protected zero-energy topological states at disclinations,  a particular type of topological defect.  Additionally, I will discuss the emergence of a Z-Classified Chiral-Symmetric Higher-Order Topological Insulator within these acoustic lattices. Finally, I will briefly discuss future directions of this exciting topic.

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