Non-Hermitian Selective Thermal Emitters using Metal-Semiconductor Hybrid Resonators.
Sign Up to like & getrecommendations! Published in 2019 at "Advanced materials"
DOI: 10.1002/adma.201904154
Abstract: All open systems that exchange energy with their environment are non-Hermitian. Thermal emitters are open systems that can benefit from the rich set of physical phenomena enabled by their non-Hermitian description. Using phase, symmetry, chirality,… read more here.
Keywords: hermitian selective; selective thermal; emitters using; non hermitian ... See more keywords
Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach
Sign Up to like & getrecommendations! Published in 2018 at "Journal of High Energy Physics"
DOI: 10.1007/jhep06(2018)152
Abstract: A bstractUsing large N arguments, we propose a scheme for calculating the two-point eigenvector correlation function for non-normal random matrices in the large N limit. The setting generalizes the quaternionic extension of free probability to… read more here.
Keywords: probing non; eigenvectors non; orthogonality eigenvectors; two point ... See more keywords
Edge universality for non-Hermitian random matrices
Sign Up to like & getrecommendations! Published in 2021 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-020-01003-7
Abstract: We consider large non-Hermitian real or complex random matrices $$X$$ X with independent, identically distributed centred entries. We prove that their local eigenvalue statistics near the spectral edge, the unit circle, coincide with those of… read more here.
Keywords: random matrices; non hermitian; non; edge universality ... See more keywords
Adiabatic Evolution and Shortcut in a Pseudo-Hermitian Composite System
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-020-04619-6
Abstract: In this work, we study the adiabatic phases and shortcut for a pseudo-Hermitian interacting spin-1/2 composite system in which one system is driven by a non-Hermitian magnetic field. The biorthonormal eigenbasis and the condition for… read more here.
Keywords: system; pseudo hermitian; composite system; correlation ... See more keywords
Algebraic treatment of non-Hermitian quadratic Hamiltonians
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-020-01165-8
Abstract: We generalize a recently proposed algebraic method in order to treat non-Hermitian Hamiltonians. The approach is applied to several quadratic Hamiltonians studied earlier by other authors. Instead of solving the Schrödinger equation we simply obtain… read more here.
Keywords: quadratic hamiltonians; treatment non; hermitian quadratic; algebraic treatment ... See more keywords
On the Correlation Functions of the Characteristic Polynomials of Non-Hermitian Random Matrices with Independent Entries
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-019-02353-w
Abstract: The paper is concerned with the asymptotic behavior of the correlation functions of the characteristic polynomials of non-Hermitian random matrices with independent entries. It is shown that the correlation functions behave like that for the… read more here.
Keywords: polynomials non; functions characteristic; characteristic polynomials; correlation functions ... See more keywords
Violation of the Equivalence Principle in Non-Hermitian Fermion Theory
Sign Up to like & getrecommendations! Published in 2018 at "Russian Physics Journal"
DOI: 10.1007/s11182-018-1545-9
Abstract: Consequences of the non-Hermitian expansion of the Dirac equation in which the mass term is written in the form m → m1 + γ5m2 are considered. It is shown that such procedure inevitably leads to… read more here.
Keywords: fermion; non hermitian; equivalence principle; violation ... See more keywords
Non-Hermitian time-dependent perturbation theory: Asymmetric transitions and transitionless interactions
Sign Up to like & getrecommendations! Published in 2017 at "Annals of Physics"
DOI: 10.1016/j.aop.2017.08.026
Abstract: Abstract The ordinary time-dependent perturbation theory of quantum mechanics, that describes the interaction of a stationary system with a time-dependent perturbation, predicts that the transition probabilities induced by the perturbation are symmetric with respect to… read more here.
Keywords: dependent perturbation; perturbation theory; time dependent; perturbation ... See more keywords
Tuning of Two-Dimensional Plasmon-Exciton Coupling in Full Parameter Space: A Polaritonic Non-Hermitian System.
Sign Up to like & getrecommendations! Published in 2021 at "Nano letters"
DOI: 10.1021/acs.nanolett.1c00198
Abstract: Non-Hermitian photonic systems with gains and/or losses have recently emerged as a powerful approach for topology-protected optical transport and novel device applications. To date, most of these systems employ coupled optical systems of diffraction-limited dielectric… read more here.
Keywords: plasmon exciton; system; two dimensional; exciton coupling ... See more keywords
Study of a High-Index Dielectric Non-Hermitian Metasurface and Its Application in Holograms
Sign Up to like & getrecommendations! Published in 2022 at "ACS Omega"
DOI: 10.1021/acsomega.2c04448
Abstract: We demonstrate that a high-index dielectric Si metasurface with a designed chiral unit structure possesses an exceptional point (EP) when it is described by a non-Hermitian Hamiltonian associated with the transmission matrix. By encircling any… read more here.
Keywords: index dielectric; non hermitian; study high; high index ... See more keywords
Line Waves in Non-Hermitian Metasurfaces
Sign Up to like & getrecommendations! Published in 2020 at "ACS Photonics"
DOI: 10.1021/acsphotonics.0c00465
Abstract: Planar junctions between reactive surface impedances with dual character (capacitive/inductive) can sustain line waves localized both in-plane and out-of-plane around the discontinuity, which propa... read more here.
Keywords: waves non; hermitian metasurfaces; line waves; line ... See more keywords