C. Yüce
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View article: Edge burst effect and scale-free localization
Edge burst effect and scale-free localization Open
The non-Hermitian edge burst is a phenomenon observed in non-Hermitian quantum dynamics, characterized by a significant accumulation of loss at the boundaries of a system. We present an example of the edge burst effect in a lossy lattice w…
View article: Nonlinear skin modes and fixed points
Nonlinear skin modes and fixed points Open
We investigate a one-dimensional tight-binding lattice with asymmetrical couplings and various type of nonlinearities to study nonlinear non-Hermitian skin effect. Our focus is on the exploration of nonlinear skin modes through a fixed-poi…
View article: From scale-free to Anderson localization: a size-dependent transition
From scale-free to Anderson localization: a size-dependent transition Open
Scale-free localization in non-Hermitian systems is a distinctive type of localization where the localization length of certain eigenstates, known as scale-free localized (SFL) states, scales proportionally with the system size. Unlike ski…
View article: Observation of Robust Zero-Energy Extended States
Observation of Robust Zero-Energy Extended States Open
Topological edge states arise at the interface of two topologically distinct structures and have two distinct features: they are localized and robust against symmetry protecting disorder. On the other hand, conventional transport in one di…
View article: Non-Hermitian edge burst without skin localization
Non-Hermitian edge burst without skin localization Open
In a class of non-Hermitian quantum walk in lossy lattices with open boundary conditions, an unexpected peak in the distribution of the decay probabilities appears at the edge, referred to as an edge burst. It is proposed that the edge bur…
View article: Non-Hermitian skin effect in two dimensional continuous systems
Non-Hermitian skin effect in two dimensional continuous systems Open
An extensive number of the eigenstates can become exponentially localized at one boundary of nonreciprocal non-Hermitian systems. This effect is known as the non-Hermitian skin effect and has been studied mostly in tight-binding lattices. …
View article: Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices
Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices Open
We construct localized beams in a non-Hermitian Glauber Fock (NGF) lattice of coupled waveguides and show that they can propagate over a long distance withalmost no diffraction. We specifically obtain the diffraction-free beams in a finite…
View article: Coexistence of extended and localized states in the one-dimensional non-Hermitian Anderson model
Coexistence of extended and localized states in the one-dimensional non-Hermitian Anderson model Open
In one-dimensional Hermitian tight-binding models, mobility edges separating extended and localized states can appear in the presence of properly engineered quasi-periodical potentials and coupling constants. On the other hand, mobility ed…
View article: Observation of Robust Zero Energy Extended States
Observation of Robust Zero Energy Extended States Open
Topological edge states arise at the interface of two topologically-distinct structures and have two distinct features: they are localized and robust against symmetry protecting disorder. On the other hand, conventional transport in one di…
View article: Coexistence of extended and localized states in one-dimensional non-Hermitian Anderson model
Coexistence of extended and localized states in one-dimensional non-Hermitian Anderson model Open
In one-dimensional Hermitian tight-binding models, mobility edges separating extended and localized states can appear in the presence of properly engineered quasi-periodical potentials and coupling constants. On the other hand, mobility ed…
View article: Exceptional Point Generated Robust Asymmetric High-Order Harmonics
Exceptional Point Generated Robust Asymmetric High-Order Harmonics Open
We propose a metallic-silicon system with a complex optical potential modulated along the length of the waveguide for a robust higher harmonic generation. For right moving fields when the strength of non-Hermiticity becomes equal to the re…
View article: Erratum: Eigenstate clustering around exceptional points [Phys. Rev. A <b>102</b>, 032203 (2020)]
Erratum: Eigenstate clustering around exceptional points [Phys. Rev. A <b>102</b>, 032203 (2020)] Open
Received 5 August 2021DOI:https://doi.org/10.1103/PhysRevA.104.039901©2021 American Physical SocietyPhysics Subject Headings (PhySH)Research AreasPT-symmetric quantum mechanicsSymmetry protected topological statesTopological effects in pho…
View article: Quantum inverted harmonic potential
Quantum inverted harmonic potential Open
We consider theinverted harmonic potential and present infinitely degenerate non-stationary orthogonal states. We discuss that a non-interacting gas under the inverted harmonic potential has an infinite entropy at the absolute zero tempera…
View article: Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices
Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices Open
We construct localized beams that are located at the edge of a non-Hermitian Glauber Fock (NGF) lattice made of coupled waveguides and can propagate for a long distance without almost no diffraction. Specifically, we calculate the closed-f…
View article: Eigenstate clustering around exceptional points
Eigenstate clustering around exceptional points Open
We propose an idea of eigenstate clustering in non-Hermitian systems. We show\nthat non-orthogonal eigenstates can be clustered around exceptional points and\nillustrate our idea on some models. We discuss that exponential localization of\…
View article: Robust localized zero-energy modes from locally embedded <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric defects
Robust localized zero-energy modes from locally embedded -symmetric defects Open
We demonstrate the creation of robust localized zero-energy states that are\ninduced into topologically trivial systems by insertion of a PT-symmetric\ndefect with local gain and loss. A pair of robust localized states induced by\nthe defe…
View article: Nonlinear waves in an anti-Hermitian lattice with cubic nonlinearity
Nonlinear waves in an anti-Hermitian lattice with cubic nonlinearity Open
In an anti-Hermitian linear system, all energy eigenvalues are purely imaginary and the corresponding eigenvectors are orthogonal. This implies that no stationary state is available in such systems. We consider an anti-Hermitian lattice wi…
View article: Topological states in a non-Hermitian two-dimensional Su-Schrieffer-Heeger model
Topological states in a non-Hermitian two-dimensional Su-Schrieffer-Heeger model Open
A non-Hermitian topological insulator with real spectrum is interesting in\nthe theory of non-Hermitian extension of topological systems. We find an\nexperimentally realizable example of a two dimensional non-Hermitian\ntopological insulat…
View article: Robust exceptional points in disordered systems
Robust exceptional points in disordered systems Open
We construct a theory to introduce the concept of topologically robust exceptional points (EP). Starting from an ordered system with $N$ elements, we find the necessary condition to have the highest order exceptional point, namely $N^\text…
View article: Spontaneous topological pumping in non-Hermitian systems
Spontaneous topological pumping in non-Hermitian systems Open
We introduce modulational instability in non-Hermitian systems to study state\nconversion of topological edge states. We show that state conversion in\nnon-Hermitian systems leads to topological pumping, which is a way of\ntransferring top…
View article: Spontaneously broken particle-hole symmetry in photonic graphene with gain and loss
Spontaneously broken particle-hole symmetry in photonic graphene with gain and loss Open
We consider particle-hole symmetric photonic graphene with balanced gain and loss. We show that edge states with purely imaginary eigenvalues appear along the zigzag edge. We propose an idea that these edge states are protected by spontane…
View article: Stable topological edge states in a non-Hermitian four-band model
Stable topological edge states in a non-Hermitian four-band model Open
We introduce a one dimensional non-Hermitian four band tight binding lattice\nsystem. We find stable topological edge states protected by particle-hole and\nparity-time symmetries. We show that topological phase appears in the system.\nWe …