Non-Hermitian degeneracies, also known as exceptional points (EPs), have been the focus of much attention due to their singular eigenvalue surface structure. Nevertheless, as pertaining to a non-Hermitian metasurface platform, the reduction of an eigenspace dimensionality at the EP has been ...
Open quantum and wave systems can exhibit non-Hermitian degeneracies called exceptional points, where both the eigenvalues and the corresponding eigenstates coalesce. Previously, such exceptional points have been investigated in dielectric microcavities in terms of optical modes which are well confined insid...
After explaining some general features of nonhermitian degeneracies ('exceptional points'), several applications are outlined: to multiple reflections in a pile of plates, linewidths of unstable lasers, atom diffraction by light, and crystal optics.关键词:...
However, in non-Hermitian systems, where the eigenfrequencies are complex, the spectrum may return to itself in a topologically non-trivial manner, a phenomenon known as spectral flow. The spectral flow is determined by how the control loop encircles degeneracies, and this relationship is well ...
Observation of non-hermitian degeneracies in a chaotic exciton-polariton billiard. Nature 526, 554558 (2015). 7. Meng-Jun Hu, X.-M. H. & Zhang, Y.-S. Are observables necessarily Hermitian? Preprint at arXiv:1601.04287v1 (2015). 8. Moiseyev, N. Non-Hermitian Quantum Mechanics (...
The appearance and regions of existence of the edge modes are intimately related to exceptional points, i.e., degeneracies in the bulk spectra of the media. We find that the topological edge modes can be divided into three classes ("Hermitian-like", "non-Hermitian", and "mixed"), and ...
Berry, M.V.: Physics of nonhermitian degeneracies. Czechoslov. J. Phys. 54(10), 1039–1047 (2004) Article ADS Google Scholar Hu, W., Wang, H., Shum, P.P., Chong, Y.D.: Exceptional points in a non-hermitian topological pump. Phys. Rev. B 95, 184306 (2017) Article ADS Goog...
Non-Hermitian systems with their spectral degeneracies known as exceptional points (EPs) have been explored for lasing, controlling light transport, and en... H Lee,A Kecebas,F Wang,... - 《Elight》 被引量: 0发表: 2023年 加载更多来源...
Non-Hermitian singularities arise in multivalued complex functions1,2 as points where the Taylor series expansion fails. In the context of non-Hermitian Hamiltonians, these points, commonly referred to as exceptional points (EPs) feature special degeneracies where two or more eigenvalues along with ...
Here we show that the Andreev versus Majorana controversy is clarified when framed in the language of non-Hermitian topology, the natural description for quantum systems open to the environment. This change of paradigm allows one to understand topological transitions and the emergence of zero modes ...