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Open AccessTopological classification for intersection singularities of exceptional surfaces in pseudo-Hermitian systems
Non-Hermitian systems are known for their intriguing topological properties, which underpin various exotic physical phenomena. Exceptional points, in particular, play a pivotal role in fine-tuning these system...
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Article
Non-Hermitian swallowtail catastrophe revealing transitions among diverse topological singularities
Exceptional points are a unique feature of non-Hermitian systems at which the eigenvalues and corresponding eigenstates of a Hamiltonian coalesce. Many intriguing physical phenomena arise from the topology of ...
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Open AccessSymmetry-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, whether the presence of symmetri...
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Open AccessExperimental realization of chiral Landau levels in two-dimensional Dirac cone systems with inhomogeneous effective mass
Chiral zeroth Landau levels are topologically protected bulk states. In particle physics and condensed matter physics, the chiral zeroth Landau level plays a significant role in breaking chiral symmetry and gi...
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Article
Classical non-Abelian braiding of acoustic modes
Non-Abelian braiding is regarded as an essential process for realizing quantum logic. Its realizations in quantum systems often rely on the dynamic winding of anyons, which can be challenging to obtain. Implem...
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Open AccessIntrinsic in-plane nodal chain and generalized quaternion charge protected nodal link in photonics
Nodal lines are degeneracies formed by crossing bands in three-dimensional momentum space. Interestingly, these degenerate lines can chain together via touching points and manifest as nodal chains. These nodal...
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Open AccessHidden-symmetry-enforced nexus points of nodal lines in layer-stacked dielectric photonic crystals
It was recently demonstrated that the connectivities of bands emerging from zero frequency in dielectric photonic crystals are distinct from their electronic counterparts with the same space groups. We discove...
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Near-perfect transmission through thick apertures by inserting connected ring resonators
We report the largely enhanced transmission of electromagnetic waves through periodic subwavelength thick apertures in an opaque plate by inserting connected ring resonators through the apertures at selected m...
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Article
Yang–Baxter equations and quantum entanglements
In this paper some results associated with a new type of Yang–Baxter equation (YBE) are reviewed. The braiding matrix of Kauffman–Lomonaco has been extended to the solution (called type-II) of Yang–Baxter equa...