A review: Rise of PT-symmetry for laser applications

Praveena, Sarva Mangala; Senthilnathan, K.

doi:10.1016/j.ijleo.2023.171260

Cited by 3 publications

(1 citation statement)

References 99 publications

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“…Due to its wide applicability in experimental physics (see Refs. [1][2][3][4][5][6] for reviews), pseudo-Hermitian quantum mechanics [7][8][9], wherein Hermiticity of the Hamiltonian is superseded by an antilinear symmetry such as parity-time-reversal (PT ) [10][11][12] has inspired growing interest in viable quantum field theories (QFTs) with non-Hermitian Hamiltonians/Lagrangians. Examples include: non-Hermitian deformations of the Dirac Lagrangian with a parity-odd, anti-Hermitian mass term [13][14][15][16][17] (see also Ref.…”

Section: Introductionmentioning

confidence: 99%

IR/UV mixing from local similarity maps of scalar non-Hermitian field theories

Chernodub

Millington

2022

Phys. Rev. D

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Pseudo-Hermitian field theories possess a global continuous "similarity" symmetry, interconnecting the theories with the same physical particle content and an identical mass spectrum. In their regimes with real spectra, within this family of similarity transformations, there is a map from the non-Hermitian theory to its Hermitian similarity partner. We promote the similarity transformation to a local symmetry, which requires the introduction of a new vector similarity field as a connection in the similarity space of non-Hermitian theories. In the case of non-Hermitian two-flavour scalar or fermion mixing, and by virtue of a novel IR/UV mixing effect, the effect of inhomogeneous non-Hermiticity then reveals itself via anomalous dispersion, instabilities and superluminal group velocities at very high momenta, thus setting an upper bound on the particle momentum propagating through inhomogeneous backgrounds characterised by Lagrangians with non-Hermitian mass matrices. Such a non-Hermitian extension of the Standard Model of particle physics, encoded in a weak inhomogeneity of the non-Hermitian part of the fermion mass matrix, may nevertheless provide us with a low-energy particle spectrum consistent with experimentally observed properties.

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Section: Introductionmentioning

confidence: 99%

IR/UV mixing from local similarity maps of scalar non-Hermitian field theories

Chernodub

Millington

2022

Phys. Rev. D

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Topologically Protected Single Edge Mode Lasing in Photonic Crystal Su–Schrieffer–Heeger Lattice with Directional Loss Control

Cheng,

Wang,

et al. 2024

Laser & Photonics Reviews

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Topological photonics is considered to be a robust and flexible platform for the design of nanophotonic devices against structural imperfections and performance degradation. Combining with parity‐time (PT) symmetry systems based on spatially distributed gain and loss, photonic crystal (PhC) lasers with micron‐size carrier reservoirs offer an ideal test bed for lasing mode competition and topological protection in nanophotonic structures. In this study, single topological edge mode (TEM) lasing is demonstrated in PhC lasers with a Su–Schrieffer–Heeger lattice comprised of coupled nanoresonators. By inducing directional loss control, a mode selection strategy is implemented, that achieves single TEM lasing with a side‐mode‐suppression ratio exceeding 30 dB. One of the TEMs exhibits remarkable robustness against local potential variation introduced by additional loss channels. This strategy integrating both topological protection and PT symmetry in nanophotonics would open up new prospects for the development of on‐chip single‐mode topological lasers unperturbed by output channels in nanophotonic integrated circuits.

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Anomalous dispersion, superluminality, and instabilities in two-flavor theories with local non-Hermitian mass mixing

Chernodub,

Millington

2024

Phys. Rev. D

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Pseudo-Hermitian field theories possess a global continuous “similarity” symmetry, interconnecting the theories with the same physical particle content and an identical mass spectrum. In their regimes with real spectra, within this family of similarity transformations, there is a map from the non-Hermitian theory to its Hermitian similarity partner. We promote the similarity transformation to a local symmetry, which requires the introduction of a new vector similarity field as a connection in the similarity space of non-Hermitian theories. In the case of non-Hermitian two-flavor scalar or fermion mixing and by virtue of a novel IR/UV mixing effect, the effect of inhomogeneous non-Hermiticity then reveals itself via anomalous dispersion, instabilities, and superluminal group velocities at very high momenta, thus setting an upper bound on the particle momentum propagating through inhomogeneous backgrounds characterized by Lagrangians with non-Hermitian mass matrices. Such a non-Hermitian extension of the Standard Model of particle physics, encoded in a weak inhomogeneity of the non-Hermitian part of the fermion mass matrix, may nevertheless provide us with a low-energy particle spectrum consistent with experimentally observed properties. Published by the American Physical Society 2024

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A review: Rise of PT-symmetry for laser applications

Cited by 3 publications

References 99 publications

IR/UV mixing from local similarity maps of scalar non-Hermitian field theories

IR/UV mixing from local similarity maps of scalar non-Hermitian field theories

Topologically Protected Single Edge Mode Lasing in Photonic Crystal Su–Schrieffer–Heeger Lattice with Directional Loss Control

Anomalous dispersion, superluminality, and instabilities in two-flavor theories with local non-Hermitian mass mixing

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