We review the current understanding of the role of topology in non-Hermitian (NH) systems, and its far-reaching physical consequences observable in a range of dissipative settings. In particular, we elucidate how the paramount and genuinely NH concept of exceptional degeneracies, at which both eige...
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 ...
B. Midya, H. Zhao, L. Feng, "Non-Hermitian photonics promises exceptional topology of light", Nat. Comm., 9, 2674, (2018).B. Midya, H. Zhao and L. Feng, Non-Hermitian photonics promises exceptional topology of light, Nature Communications 9, 2674 (2018)....
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 PT symmetry. ...
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...
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 ...
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...
This discovery broadens topological classifications in non-Hermitian systems, with promising applications in quantum computing and metrology.#Exceptional points are non-Hermitian singularities where both eigenvalues and their corresponding eigenstates coalesce, presenting interesting spectral topology that has been...
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 $n$ ...
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