ArticleNature nanotechnology2024
Third-order exceptional line in a nitrogen-vacancy spin system.
Article in Nature nanotechnology, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Higher-order exceptional ring semimetal with real hinge states in acoustic metamaterials.National science review · 2026Article
- Operating a non-Hermitian atomic magnetometer with programmable digital electronics.Nature communications · 2026Article
- Experimental witness of quantum jump induced high-order Liouvillian exceptional points.Nature communications · 2026Article
- Quantum tomography of a third-order exceptional point in a dissipative trapped ion.Nature communications · 2025Article
- Non-Hermitian non-Abelian topological transition in the S = 1 electron spin system of a nitrogen vacancy centre in diamond.Nature nanotechnology · 2025Article
- Measuring topological invariants for higher-order exceptional points in quantum three-mode systems.Nature communications · 2024Article
Corrections and comments
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Authors and funding
9 authors.
Funding
Abstract
Exceptional points (EPs) are singularities in non-Hermitian systems, where k (k ≥ 2) eigenvalues and eigenstates coalesce. High-order EPs exhibit richer topological characteristics and better sensing performance than second-order EPs. Theory predicts even richer non-Hermitian topological phases for high-order EP geometries, such as lines or rings formed entirely by high-order EPs. However, experimental exploration of high-order EP geometries has hitherto proved difficult due to the demand for more degrees of freedom in the Hamiltonian's parameter space or a higher level of symmetries. Here we observe a third-order exceptional line in an atomic-scale system. To this end, we use a nitrogen-vacancy spin in diamond and introduce multiple symmetries in the non-Hermitian Hamiltonian realized with the system. Furthermore, we show that the symmetries play an essential role in the occurrence of high-order EP geometries. Our approach can in future be further applied to explore high-order EP-related topological physics at the atomic scale and, potentially, for applications of high-order EPs in quantum technologies.
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Registered trials
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