1a. In this special configuration, the nontrivial eigenvalues of the matrix M in Eq. (17) are ±i8g2−κ2 and ±i8g2−κ2/2, recovering the criticality first expounded at the level of the non-Hermitian Hamiltonian in Eq. (13). Using the frequency Ω as defined in Eq. (12), ...
K. Exceptional topology of non-Hermitian systems. Rev. Mod. Phys. 93, 15005 (2021). ADS MathSciNet Google Scholar Ashida, Y., Gong, Z. & Ueda, M. Non-Hermitian physics. Adv. Phys. 69, 3 (2020). Google Scholar El-Ganainy, R. et al. Non-Hermitian physics and [Math ...
We present a study of complex energy braiding in a 1D non-Hermitian system with $n$th order long range asymmetrical coupling. Our work highlights the emergence of novel topological phenomena in such systems beyond the conventional nearest-neighbor interaction. The modified SSH model displays $n$ ...
We further demonstrate that ECs can be observed in prototypical non-Hermitian photonic crystals. Our results combine the effect of non-Hermitian spatiotemporal symmetry and topology to pave the way for understanding and manipulating the morphology of ELs in non-Hermitian crystalline systems.#Exceptional...
The band degeneracy, either the exceptional point of a non-Hermitian system or the Dirac point associated with a topological system, can feature distinct symmetry and topology. Their synergy will further produce more exotic topological effects in synthetic matter.DOI...
Exceptional points (EPs) with their intriguing spectral topology have attracted considerable attention in a broad range of physical systems, with potential sensing applications driving much of the present research in this field. Here we theoretically demonstrate the realization of EPs in a system with ...
Different parameters naturally have different landscapes and amplitude; topology But there will still be chiral state transfer. Generally speaking is related to track asymmetry and non Hermiticity: the more symmetrical and Hermitian, the more symmetrical the state will be; the more asymmetric, the non...
Resolving the topology of encircling multiple exceptional points 2024, Nature Communications Show abstract Exploring anomalous light dynamics around higher-order conjugate exceptional points with local nonlinearity 2023, Physical Review A Non-Hermitian optics and photonics: from classical to quantum ...
that a non-Hermitian electronic system can still have purely real eigenspectra beyond a certain threshold, namely the exceptional point (EP)30. It has been reported that the eigenfrequencies of the system operating in the proximity of an EP may dramatically shift (Fig.1b), greatly outperforming...
Non-Hermitian theory is a theoretical framework used to describe open systems. It offers a powerful tool in the characterization of both the intrinsic degrees of freedom of a system and the interactions with the external environment. The non-Hermitian fr