Non-Hermitian Quantum Mechanics

By N. Moiseyev. 2011

306 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/2e5459e94994a83501b84b0dcb65401ce5e5b571

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Citations in the corpus

Biorthogonal quantum mechanics (2013, background): “Operators that are not Hermitian also play an important role in the physics of resonance, as discussed, for example, in [6, 7, 8].”
Active topological photonics (2019, background): “s (waveguides) are open dissipative systems and lasers (modulators) utilize amplification (absorption), photonic devices can be understood as a semi-classical analogy of non-Hermitian quantum systems [88] — they do not preserve the number of photons. Uniform optical gain or loss just adds an offset ”
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”
Symmetry‐Protected Dual Bound States in the Continuum in Metamaterials (2019, background): “Different orders of resonances may be found in the propagating continuum at specific frequencies described by i n n n 0  ω ω γ = + , where the real part indicates resonance frequencies and the imaginary part indicates the leakage rates of the n-order mode.[12] For a strongly confined mode, the leak”
Topological states of non-Hermitian systems (2018, background): “ behind the term non-Hermitian? Although quantum mechanics is traditionally formulated in terms of Hermitian operators (so that their eigenvalues are warranted to be real), non-Hermitian Hamiltonians [19,20] have gained a physically relevant space from two different viewpoints. The ﬁrst is more fund”
Light fields in complex media: Mesoscopic scattering meets wave control (2017, background): “Due to their finite life-time the resonances are also often referred to as quasi-bound states or quasi-modes of the system and starting from the original work by Gamow (Gamow, 1928) many theoretical studies are based on these states (Moiseyev, 2011).”
Interplay of non-Hermitian skin effects and Anderson localization in nonreciprocal quasiperiodic lattices (2019, background): “[28] Nimrod Moiseyev.”
Bound states in the continuum (2016, background): “For example, consider a two-dimensional (2D) system with Hamiltonian of the form: H = Hx(x) + Hy(y), (1) where Hx acts only on the x variable, and Hy acts only on the y variable.”
Nonlinear waves in PT -symmetric systems (2016, background): “…operators in physics and mathematics, in addition to the works listed in the Introduction we also mention the reviews by Cannata, Dedonder, and Ventura (2007); Daley (2014); Garcia, Prodan, and Putinar (2014); Muga et al. (2004); and Rotter (2009), as well as the monograph of Moiseyev (2011).”