An exact analogue of the Hatano-Nelson model for continuous systems

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• Vassos Achilleos (CNRS (Centre national de la recherche scientifique))
• Tuesday 23 May 2023, 13:40-14:25
• Seminar Room 1, Newton Institute.

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MWSW04 - Multiple scattering in engineering and applied sciences

We provide a simple and general way for 1D continuous nonreciprocal systems to be exactly mapped to the the non-Hermitian Hatano-Nelson (HN) model. Our approach relies on the two port transfer matrix and could by applied to a plethora of physical systems. We verify our model experimentally using acoustic waveguides and observe the non-Hermitianskin effect. Furthermore, we investigate the transition from a periodic boundary condition (PBC) to an open boundary condition (OBC) using diaphragms of different radii, and experimentally observe the sensitivity to boundary conditions.        

This talk is part of the Isaac Newton Institute Seminar Series series.

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