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Physical Sciences and Mathematics Commons

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Physics

University of Texas Rio Grande Valley

2021

Non-Hermitian

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Full-Text Articles in Physical Sciences and Mathematics

Design And Modeling A Tunable Non-Hermitian Acoustic Filter, Sandeep Puri May 2021

Design And Modeling A Tunable Non-Hermitian Acoustic Filter, Sandeep Puri

Theses and Dissertations

In this thesis, we explore an application of a non-Hermitian acoustic system with tunable loss in filtering specific frequencies from an upcoming signal at will. Using the commercial computational software, we design our proposed tunable filter made of a phononic super-lattice. The super-lattice consists of two sublattices connected in series. The first sublattice is Hermitian, whereas the other can be Hermitian or Non-Hermitian depending on the amount of loss induced in it. By introducing the loss in the system, we observe the generation of absorbed resonances that can be seen in the reflection spectrum. The range of the filtered frequencies …


Topologically Robust Bulk State In Non-Hermitian Acoustic System, Jannatul Ferdous May 2021

Topologically Robust Bulk State In Non-Hermitian Acoustic System, Jannatul Ferdous

Theses and Dissertations

A closed system associated with Hermitian Hamiltonian allows real eigenvalues. However, the behavior and dynamics an open system (with gain and loss) will be addressed through the Non-Hermitian Hamiltonian. Though a non-Hermitian operator can allow only imaginary eigenvalues, if the Hamiltonian of a non-Hermitian operator obey the combined parity time (PT)-reversal symmetry it exhibits the real eigenvalues or energy spectrum. That is where the topology comes into account. If we add gain, loss or disorder in the system in such a way that the topology of the system does not change and keeping the …