Perspective on topological states of non-Hermitian lattices
LEFF Torres - Journal of Physics: Materials, 2019 - iopscience.iop.org
The search of topological states in non-Hermitian systems has gained a strong momentum
over the last two years climbing to the level of an emergent research front. In this perspective …
over the last two years climbing to the level of an emergent research front. In this perspective …
Breaking of Symmetry in Bounded and Unbounded Scattering Systems
PT-symmetric scattering systems with balanced gain and loss can undergo a symmetry-
breaking transition in which the eigenvalues of the nonunitary scattering matrix change their …
breaking transition in which the eigenvalues of the nonunitary scattering matrix change their …
On the metric operator for the imaginary cubic oscillator
P Siegl, D Krejčiřík - Physical Review D—Particles, Fields, Gravitation, and …, 2012 - APS
We show that the eigenvectors of the PT-symmetric imaginary cubic oscillator are complete,
but do not form a Riesz basis. This results in the existence of a bounded metric operator …
but do not form a Riesz basis. This results in the existence of a bounded metric operator …
Theory of reflectionless scattering modes
We develop the theory of a special type of scattering state in which a set of asymptotic
channels is chosen as inputs, and the complementary set is chosen as outputs, and there is …
channels is chosen as inputs, and the complementary set is chosen as outputs, and there is …
Optical waveguide arrays: quantum effects and PT symmetry breaking
YN Joglekar, C Thompson, DD Scott… - The European Physical …, 2013 - cambridge.org
Over the last two decades, advances in fabrication have led to significant progress in
creating patterned heterostructures that support either carriers, such as electrons or holes …
creating patterned heterostructures that support either carriers, such as electrons or holes …
Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem
ASBB Dhia, L Chesnel… - Proceedings of the …, 2018 - royalsocietypublishing.org
We consider the reflection–transmission problem in a waveguide with obstacle. At certain
frequencies, for some incident waves, intensity is perfectly transmitted and the reflected field …
frequencies, for some incident waves, intensity is perfectly transmitted and the reflected field …
Quantum noise and mode nonorthogonality in non-Hermitian -symmetric optical resonators
G Yoo, HS Sim, H Schomerus - Physical Review A—Atomic, Molecular, and …, 2011 - APS
PT-symmetric optical resonators combine absorbing regions with active, amplifying regions.
The latter are the source of radiation generated via spontaneous and stimulated emission …
The latter are the source of radiation generated via spontaneous and stimulated emission …
Unified theory of resonances and bound states in the continuum in Hermitian tight-binding models
AA Gorbatsevich, NM Shubin - Physical Review B, 2017 - APS
We study the transport properties of an arbitrary two-terminal Hermitian system within a tight-
binding approximation and derive an expression for the transparency in a form that enables …
binding approximation and derive an expression for the transparency in a form that enables …
Quantum logic gates
AA Gorbatsevich, NM Shubin - Physics-Uspekhi, 2019 - iopscience.iop.org
We discuss the strategies to construct logic gates based on solid-state and molecular
structures in which information transformation processes are governed by quantum …
structures in which information transformation processes are governed by quantum …
On the similarity of Sturm–Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators
We consider one-dimensional Schrödinger-type operators in a bounded interval with non-
self-adjoint Robin-type boundary conditions. It is well known that such operators are …
self-adjoint Robin-type boundary conditions. It is well known that such operators are …