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We introduce a recursive bosonic quantization technique for generating classical PT photonic structures that possess hidden symmetries and higher order exceptional points. We study light transport in these geometries and we demonstrate that…

We extend the study of supersymmetric tridiagonal Hamiltonians to the case of non-Hermitian Hamiltonians with real or complex conjugate eigenvalues. We find the relation between matrix elements of the non-Hermitian Hamiltonian $H$ and its…

Quantum Physics · Physics 2021-12-09 Mohammad Walid AlMasri

The PT-symmetric waveguides have been frequently discussed in the photonics community due to their extraordinary properties. Especially, the study of power transmission is significant for switching applications. The aim of this study is to…

Optics · Physics 2025-02-11 Chengnian Huang , Zhihao Lan , Menglin L. N. Chen , Wei E. I. Sha

Parity-time-symmetric ($\mathcal{PT}$-symmetric) optical waveguide couplers have become a key component for integrated optics. They offer new possibilities for fast, ultracompact, configurable, all-optical signal processing. Here, we study…

Optics · Physics 2015-09-14 Wiktor Walasik , Natalia M. Litchinitser

Holography-inspired teleportation has recently emerged as a significant area of research in quantum many-body systems. In this work, we investigate the effects of $\mathcal{PT}$ symmetric non-unitary deformations on the traversability of…

Quantum Physics · Physics 2026-01-27 Sudhanva Joshi , Sunil Kumar Mishra

Quantum transport in a class of nonlinear extensions of the Rudner-Levitov model is numerically studied in this paper. We show that the quantization of the mean displacement, which embodies the quantum coherence and the topological…

Quantum Physics · Physics 2022-05-25 Lei Du , Jin-Hui Wu , M. Artoni , G. C. La Rocca

We present a theory of electronic properties and the spin blockade phenomena in a gated linear triple quantum dot. Quadruple points where four different charge configurations are on resonance, particularly involving (1,1,1) configuration,…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Chang-Yu Hsieh , Yun-Pil Shim , Pawel Hawrylak

We introduce a class of PT-symmetric systems which include mutually matched nonlinear loss and gain (inother words, a class of PT-invariant Hamiltonians in which both the harmonic and anharmonic parts are non-Hermitian). For a basic system…

Mathematical Physics · Physics 2015-05-27 Andrey E. Miroshnichenko , Boris A. Malomed , Yuri S. Kivshar

Starting from a double quantum dot realization of a minimal Kitaev chain, we demonstrate that non-Hermicity stabilizes the so-called poor man's Majorana zero modes in a region of parameter space that is much broader than in the Hermitian…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Jorge Cayao , Ramón Aguado

A theoretical model of a single molecule coupled to many vibronic modes is presented. At low energies, transport is dominated by electron-vibron processes where transfer of an electron through the dot is accompanied by the…

Mesoscale and Nanoscale Physics · Physics 2011-08-19 Abdullah Yar , Andrea Donarini , Sonja Koller , Milena Grifoni

A theoretical model of a single molecule coupled to many vibronic modes is presented. At low energies, transport is dominated by electron-vibron processes where transfer of an electron through the dot is accompanied by the…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Abdullah Yar , Andrea Donarini , Sonja Koller , Milena Grifoni

We investigate non-equilibrium transport properties of a quantum dot in the Coulomb blockade regime under the condition of negligible inelastic scattering during the dwelling time of the electrons in the dot. Using the quantum kinetic…

Mesoscale and Nanoscale Physics · Physics 2023-11-17 George McArdle , Rose Davies , Igor V. Lerner , Igor V. Yurkevich

We analyze the nonequilibrium transport properties of a parallel double quantum dot in terms of its full counting statistics (FCS). The parameters of the setup are assumed to be such that both subsystems are driven into the Kondo regime.…

Mesoscale and Nanoscale Physics · Physics 2011-11-04 D. Breyel , A. Komnik

A general formalism is worked out for the description of one-dimensional scattering in non-hermitian quantum mechanics and constraints on transmission and reflection coefficients are derived in the cases of P, T, or PT invariance of the…

Quantum Physics · Physics 2015-06-26 F. Cannata , J. -P. Dedonder , A. Ventura

We consider the interaction between the Hermitian world, represented by a real delta-function potential $-\alpha\delta(x)$, and the non-Hermitian world, represented by a PT-symmetric pair of delta functions with imaginary coefficients…

High Energy Physics - Theory · Physics 2009-02-23 H. F. Jones

Semi-Dirac semimetals have received enthusiastic research both theoretically and experimentally in the recent years. Due to the anisotropic dispersion, its physical properties are highly direction-dependent. In this work we employ the…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Shihao Bi , Yiting Deng , Yan He , Peng Li

Coupled-resonator optical waveguides (CROWs) are known to have interesting and useful dispersion properties. Here, we study the transport in these waveguides in the general case where each resonator is open and asymmetric, i.e., is leaky…

Optics · Physics 2015-03-24 Henning Schomerus , Jan Wiersig

We study the phenomenon of spontaneous symmetry breaking in dissipationless resonant tunneling heterostructures (RTS). To describe the quantum transport in this system we apply both the nonequilibrium Green function formalism based on a…

Mesoscale and Nanoscale Physics · Physics 2016-08-18 A. A. Gorbatsevich , N. M. Shubin

The interplay between superconductivity and environmental dissipation, effectively captured by non-Hermitian Hamiltonian, is a new frontier for exotic quantum phases. We explore a PT-symmetric non-Hermitian superconductor with balanced gain…

Superconductivity · Physics 2025-09-04 Xuezhu Liu , Ming Lu , Haiwen Liu , X. C. Xie

We study the spectrum, eigenstates and transport properties of a simple $\mathcal{P}\mathcal{T}$-symmetric model consisting in a finite, complex, square well potential with a delta potential at the origin. We show that as the strength of…

Quantum Physics · Physics 2024-12-18 Francisco Ricardo Torres Arvizu , Adrian Ortega , Hernán Larralde
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