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by Yuce, C
Physics Letters A, ISSN 0375-9601, 02/2020, Volume 384, Issue 4, p. 126094
A non-Hermitian topological insulator is fundamentally different from conventional topological insulators. The non-Hermitian skin effect arises in a... 
Non-Hermitian topological insulators | PT-symmetry
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 04/2020, Volume 83, p. 105106
In an anti-Hermitian linear system, all energy eigenvalues are purely imaginary and the corresponding eigenvectors are orthogonal. This implies that no... 
PT-symmetry | Non-Hermitian nonlinear systems
Journal Article
Optics Express, ISSN 1094-4087, 12/2018, Volume 26, Issue 26, pp. 33818 - 33829
Asymmetric reflection in Bragg gratings and asymmetric diffraction in diffraction gratings are both linked to parity-time (PT) symmetry in non-Hermitian... 
INVISIBILITY | PT-SYMMETRY | OPTICS | PARITY-TIME SYMMETRY | VOLUME GRATINGS | SCATTERING
Journal Article
Proceedings of SPIE - The International Society for Optical Engineering, ISSN 0277-786X, 2018, Volume 10683
Conference Proceeding
Proceedings of SPIE - The International Society for Optical Engineering, ISSN 0277-786X, 2017, Volume 10457
Conference Proceeding
Physics Letters, Section A: General, Atomic and Solid State Physics, ISSN 0375-9601, 06/2010, Volume 374, Issue 26, pp. 2605 - 2607
It is shown that the PT symmetric Hamiltonian with the periodic potential V (x) = 4 cos x + 4 i V sin 2 x can be mapped into a Hermitian Hamiltonian for V <... 
Exceptional point | Band structure | PT symmetry
Journal Article
Annals of Physics, ISSN 0003-4916, 05/2017, Volume 380, pp. 78 - 92
We introduce generalized versions of complex Scarf and Morse-type potentials that contain energy-dependent parameters. PT-symmetry and pseudo-hermiticity of... 
PT-symmetry | Energy-dependent potential | Pseudo-hermiticity
Journal Article
by Yuce, C
Physics Letters A, ISSN 0375-9601, 06/2015, Volume 379, Issue 18-19, pp. 1213 - 1218
In this work, we consider a tight binding lattice with two non-Hermitian impurities. The system is described by a non-Hermitian generalization of the... 
Non-Hermitian Hamiltonian | PT symmetry | Topological phase | REAL SPECTRA | PHYSICS, MULTIDISCIPLINARY
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 2019, Volume 52, Issue 5, p. 55303
Journal Article
Journal of the Optical Society of America B: Optical Physics, ISSN 0740-3224, 07/2018, Volume 35, Issue 7, pp. 1525 - 1535
The switching properties of coupled nanophotonic waveguides under the influence of a loss-induced exceptional point are analytically and numerically... 
PT-SYMMETRY | SINGLE | PARITY-TIME SYMMETRY | SINGULARITIES | MODULATORS | MICROCAVITIES | OPTICS
Journal Article
Nonlinearity, ISSN 0951-7715, 02/2016, Volume 29, Issue 3, pp. 915 - 946
A nonlocal nonlinear Schrodinger (NLS) equation was recently introduced and shown to be an integrable infinite dimensional Hamiltonian evolution equation. In... 
left-right Riemann-Hilbert problem | integrable nonlocal NLS equation | PT symmetry | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | Inverse scattering | Mathematical analysis | Transforms | Solitons | Nonlinearity | Evolution | Schroedinger equation | Cauchy problem
Journal Article
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 04/2013, Volume 371, Issue 1989, p. 20120171
In the present work, we focus on the cases of two-site (dimer) and three-site (trimer) configurations, i.e. oligomers, respecting the parity-time (PT)... 
Oligomer | Dynamics | Pt symmetry | oligomer | dynamics | SOLITONS | STABILITY | MULTIDISCIPLINARY SCIENCES | PT symmetry
Journal Article
PHYSICAL REVIEW LETTERS, ISSN 0031-9007, 04/2014, Volume 112, Issue 13, p. 130404
Bender et al. [Phys. Rev. Lett. 80, 5243 (1998)] have developed PT-symmetric quantum theory as an extension of quantum theory to non-Hermitian Hamiltonians. We... 
PT-SYMMETRY | PHYSICS, MULTIDISCIPLINARY | QUANTUM-MECHANICS | NON-HERMITIAN HAMILTONIANS | PSEUDO-HERMITICITY
Journal Article
Physical Review B, ISSN 2469-9950, 09/2018, Volume 98, Issue 12
Using the Maxwell-Bloch equations for resonantly absorbing and amplifying media, we study the temporal dynamics of light propagation through the PT-symmetric... 
PHYSICS, CONDENSED MATTER | PT-SYMMETRY | PHYSICS, APPLIED | PARITY-TIME SYMMETRY | MATERIALS SCIENCE, MULTIDISCIPLINARY | Physics - Optics
Journal Article
Reports on Progress in Physics, ISSN 0034-4885, 06/2007, Volume 70, Issue 6, pp. 947 - 1018
The Hamiltonian H specifies the energy levels and time evolution of a quantum theory. A standard axiom of quantum mechanics requires that H be Hermitian... 
CLASSICAL TRAJECTORIES | REGGEON QUANTUM-MECHANICS | HIDDEN SYMMETRY OPERATOR | PT-SYMMETRY | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | SPONTANEOUS BREAKDOWN | PERIODIC POTENTIALS | REAL EIGENVALUES | LEE EDGE SINGULARITY | PSEUDO-HERMITICITY | Physics - High Energy Physics - Theory
Journal Article
JOURNAL OF PHYSICS-CONDENSED MATTER, ISSN 0953-8984, 11/2019, Volume 31, Issue 46, p. 465301
The paper deals with the theoretical consideration of surface plasmon-polaritons in the graphene monolayer, embedded into dielectric with spatially separated... 
surface plasmon-polariton | PHYSICS, CONDENSED MATTER | ANTENNAS | PT-symmetry | graphene
Journal Article
Proceedings of the IEEE, ISSN 0018-9219, 9/2019, pp. 1 - 24
Periodic lattices of strongly scattering objects coupled to active media are of central importance in applied nanophotonics, serving as light-emitting... 
non-Hermitian photonics | Exceptional points (EPs) | parity-time (PT) symmetry | plasmonic nanoparticle arrays
Journal Article
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 04/2013, Volume 371, Issue 1989
Journal Article
Physics Letters, Section A: General, Atomic and Solid State Physics, ISSN 0375-9601, 07/2016, Volume 380, Issue 29-30, pp. 2260 - 2264
Wannier–Stark ladder in a [Formula presented] symmetric system is generally complex that leads to amplified/damped Bloch oscillation. We show that a... 
Super Bloch oscillation | Non-Hermitian Hamiltonians | PT symmetry
Journal Article
Physical Review Letters, ISSN 0031-9007, 11/2016, Volume 117, Issue 22
Journal Article
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