REVIEW 10 cited by
Non-Hermitian Physics
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
A review is given on the foundations and applications of non-Hermitian classical and quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra, including Jordan normal form, biorthogonality, exceptional points, pseudo-Hermiticity and parity-time symmetry, are delineated in a pedagogical and mathematically coherent manner. Building on these, we provide an overview of how diverse classical systems, ranging from photonics, mechanics, electrical circuits, acoustics to active matter, can be used to simulate non-Hermitian wave physics. In particular, we discuss rich and unique phenomena found therein, such as unidirectional invisibility, enhanced sensitivity, topological energy transfer, coherent perfect absorption, single-mode lasing, and robust biological transport. We then explain in detail how non-Hermitian operators emerge as an effective description of open quantum systems on the basis of the Feshbach projection approach and the quantum trajectory approach. We discuss their applications to physical systems relevant to a variety of fields, including atomic, molecular and optical physics, mesoscopic physics, and nuclear physics with emphasis on prominent phenomena/subjects in quantum regimes, such as quantum resonances, superradiance, continuous quantum Zeno effect, quantum critical phenomena, Dirac spectra in quantum chromodynamics, and nonunitary conformal field theories. Finally, we introduce the notion of band topology in complex spectra of non-Hermitian systems and present their classifications by providing the proof, firstly given by this review in a complete manner, as well as a number of instructive examples. Other topics related to non-Hermitian physics, including nonreciprocal transport, speed limits, nonunitary quantum walk, are also reviewed.
Forward citations
Cited by 10 Pith papers
-
Non-Hermitian Holographic Flows to Little Rip Cosmologies
A holographic model of a non-Hermitian PT-symmetric QFT produces black hole interiors that are isotropic Little Rip cosmologies, separated from standard Kasner behavior by a distinctive logarithmic signature in heavy-...
-
Non-Hermitian Edge State Endocytosis
A Widom determinant expansion reveals that finite-size edge states in non-Hermitian chains can be absorbed by the bulk spectrum at a critical system size due to competition between boundary-projected Green's function subsets.
-
The Role of Exceptional Points and Transmission Peak Degeneracies in Non-Hermitian Sensing
A unified semiclassical framework for TPD sensing with analytic figures of merit, experimental validation, and a robust TPD configuration that eliminates cubic nuisance drift.
-
Non-Hermitian Quantum Adiabatic Algorithm
A history-decoupled Hamiltonian mapping makes non-Hermitian adiabatic quantum optimization pseudospectrally stable, achieving polynomial-time (per configuration) evolution on the CK maximum-independent-set benchmarks.
-
Non-Hermitian Structure and Exceptional Points in Yang-Mills Theory from Analytic Continuation of Nc
Analytic continuation of Nc in Yang-Mills theory produces non-Hermitian operator spectra with exceptional points, PT-phase transitions, and topological monodromy.
-
Ergodic Hysteresis of the Kerr black hole spectrum
Near-extremal Kerr black holes with massive scalar fields exhibit a cascade of exceptional points that can adiabatically permute arbitrary quasinormal-mode overtones.
-
Probing the Unstable Spectrum of Schwarzschild-like Black Holes
The quasinormal mode spectrum of physically deformed Schwarzschild-like black holes stays unstable, contradicting the expectation that displaced spectra become stable.
-
The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework
For Boulware-Deser-Wheeler black holes, quasinormal-mode spectra are pseudospectrally unstable, yet time-domain waveforms shift only quadratically under small potential bumps.
-
Exceptional line and pseudospectrum in black hole spectroscopy
A continuous line of exceptional points exists in the three-parameter space of a Gaussian-bump-perturbed Regge-Wheeler potential, with pseudospectral contour sizes scaling as ε^{1/2} at second-order EPs.
-
Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs
A randomized compilation of LCHS for non-unitary dynamics, with an observable-driven variant and a symmetry-aware sampler, claims reduced ancilla and circuit depth at the cost of more repetitions.
Discussion (0). Continue with ORCID to comment.