Moreover, by mapping arbitrary one-dimensional systems to the adiabatic encircling of EPs, we can classify one-dimensional non-Hermitian systems characterized by topological phase transitions involving EPs. Applying our exceptional classification to various multiband systems, we expect to enhance the ...
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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...
Non-Hermitian systems exhibit markedly different phenomena than their conventional Hermitian counterparts. Several such features, such as the non-Hermitian skin effect, are only present in spatially extended systems. Potential applications of these effects in many-mode systems however remains largely unexplo...
Non-Hermitian systems exhibit striking exceptions from the paradigmatic bulk-boundary correspondence, including the failure of bulk Bloch band invariants in predicting boundary states and the (dis)appearance of boundary states at parameter values far from those corresponding to gap closings in periodic sys...
For ordinary Hermitian Hamiltonians, the states support the mathematical structure of quaternion and show the Kramers degeneracy when the system has a half-odd-integer spin and the time-reversal operator obeys Θ2 = -1, while no such structure exists when Θ2 = +1. Here, we point out that...
This means non-Hermiticity has been an issue since the very beginning—while higher-order topology is defined under the Hermitian condition, almost all higher-order TIs are in non-Hermitian systems. In the current understanding, the role of intrinsic loss, which is non-Hermitian, is very ...
题目:Quantum Non-Hermitian Phenomena with Open Baths | 北京大学量子材料科学中心 时间:2024-04-17 15:00 报告人:胡颖 山西大学 主办方:北京大学量子材料科学中心 直播链接:蔻享学术摘要:While enchanting non-Hermitian properties unattainable in Hermitian systems are widely revealed, genuine quantum non-Hermitia...
Topological Anderson insulator in two-dimensional non-Hermitian systems This phase is understood as the topological Anderson insulator in non-Hermitian systems. Finally, the disordered phase transition in the cylindrical sample is also investigated. The clean non-Hermitian cylindrical sample has three phase...
On parallel multisplitting methods for non-Hermitian positive definite linear systems To solve non-Hermitian linear system Ax=b on parallel and vector machines, some paralell multisplitting methods are considered. In this work, in particular... CY Zhang,S Luo,Z Yan - 《Mathematics》 被引量: 13...