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Non-Hermitian topology and exceptional-point geometries
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 …
powerful tool in the characterization of both the intrinsic degrees of freedom of a system and …
Homotopy, symmetry, and non-Hermitian band topology
Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical
dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering …
dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering …
Non-hermitian mott skin effect
We propose a novel type of skin effects in non-Hermitian quantum many-body systems that
we dub a “non-Hermitian Mott skin effect.” This phenomenon is induced by the interplay …
we dub a “non-Hermitian Mott skin effect.” This phenomenon is induced by the interplay …
Observation of nonlinear exceptional points with a complete basis in dynamics
The exotic physics associated with exceptional points (EPs) is always under the scrutiny of
theoretical and experimental science. Recently, considerable effort has been invested in the …
theoretical and experimental science. Recently, considerable effort has been invested in the …
Resolving the topology of encircling multiple exceptional points
Non-Hermiticity has emerged as a new paradigm for controlling coupled-mode systems in
ways that cannot be achieved with conventional techniques. One aspect of this control that …
ways that cannot be achieved with conventional techniques. One aspect of this control that …
Experimental simulation of symmetry-protected higher-order exceptional points with single photons
Exceptional points (EPs) of non-Hermitian (NH) systems have recently attracted increasing
attention due to their rich phenomenology and intriguing applications. Compared to the …
attention due to their rich phenomenology and intriguing applications. Compared to the …
Braid-protected topological band structures with unpaired exceptional points
We demonstrate the existence of topologically stable unpaired exceptional points (EPs), and
construct simple non-Hermitian (NH) tight-binding models exemplifying such remarkable …
construct simple non-Hermitian (NH) tight-binding models exemplifying such remarkable …
Realization and topological properties of third-order exceptional lines embedded in exceptional surfaces
As the counterpart of Hermitian nodal structures, the geometry formed by exceptional points
(EPs), such as exceptional lines (ELs), entails intriguing spectral topology. We report the …
(EPs), such as exceptional lines (ELs), entails intriguing spectral topology. We report the …
Eigenvalue knots and their isotopic equivalence in three-state non-Hermitian systems
The spectrum of a non-Hermitian system generically forms a two-dimensional complex
Riemannian manifold with a distinct topology from the underlying parameter space. This …
Riemannian manifold with a distinct topology from the underlying parameter space. This …
Symmetry-protected topological exceptional chains in non-Hermitian crystals
In non-Hermitian systems, defective band degeneracies called exceptional points can form
exceptional lines (ELs) in 3D momentum space in the absence of any symmetries. However …
exceptional lines (ELs) in 3D momentum space in the absence of any symmetries. However …