Physics of Nonhermitian Degeneracies

By Michael V. Berry. 2004

649 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0215f39a6d02d3821f3ce5093f7ce8a6682bfffb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. K. Kawabata
2. Masahito Ueda
3. Franco Nori
4. Andrea Alù
5. Masatoshi Sato
6. Ken Shiozaki
7. K. Bliokh
8. Mohammad-Ali Miri

In Statistical and Nonlinear Physics

1. K. Kawabata
2. Andrea Alù
3. Franco Nori
4. Masahito Ueda
5. Masatoshi Sato
6. Ken Shiozaki
7. K. Bliokh
8. Yin Huang

Citations in the corpus

• Dynamically Encircling Exceptional Points: In situ Control of Encircling Loops and the Role of the Starting Point (2018, background): “ion in non-Hermitian systems and will likely find applications in mode switching controlled with external parameters. I. INTRODUCTION Exceptional points (EPs) are degeneracies in nonHermitian systems [1, 2, 3, 4]. Unlike degeneracies in Hermitian systems such as diabolic points (DPs) [5,6] whose eig”
• Sensitivity of parameter estimation near the exceptional point of a non-Hermitian system (2018, background): “In contrast to level degeneracy points in Hermitian systems, the EP is associated with level coalescence, in which not only the eigenenergies but also the eigenstates become identical [12, 13].”
• Anomalous helical edge states in a non-Hermitian Chern insulator (2018, positive): “The appearance of such large gapless phases arises from the fact that a level degeneracy requires fine-tuning two parameters for a general 2×2 non-Hermitian matrix, although it requires fine-tuning three parameters for a general 2×2 Hermitian matrix [62, 65, 76, 127]; non-Hermitian systems in two di”
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems. (2016, background): “NonHermitian systems, however, exhibit a distinct class of spectral degeneracies known as exceptional points (EPs), which are branch points in a 2D parameter space where the Hamiltonian becomes non-diagonalizable [4, 9, 10].”
• Symmetry-protected nodal phases in non-Hermitian systems (2018, neutral): “rather than three [10, 11, 38, 53].”