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One dimensional lattice with an on-site cubic-quintic nonlinear response described by a cubic-quintic discrete nonlinear Schr\"odinger equation is tested for asymmetric wave propagation. The lattice is connected to linear side chains.…

Pattern Formation and Solitons · Physics 2018-10-02 Muhammad Abdul Wasay

We consider the asymmetric transmission properties of a Discrete Nonlinear Schr{\"o}dinger type dimer with a saturable nonlinear intersite coupling between the dimer sites, in addition to a cubic onsite nonlinearity and asymmetric linear…

Pattern Formation and Solitons · Physics 2020-10-21 Muhammad Abdul Wasay , Magnus Johansson

We consider asymmetric (nonreciprocal) wave transmission through a layered nonlinear, non mirror-symmetric system described by the one-dimensional Discrete Nonlinear Schr\"odinger equation with spatially varying coefficients embedded in an…

Pattern Formation and Solitons · Physics 2013-11-12 Stefano Lepri , Giulio Casati

We study the breaking of reciprocity in non-Hermitian coupled photonic waveguides by the simultaneous action of the nonlinear effect of saturable absorption, and the presence of exceptional points. The nonlinear response of such a system is…

We study the spectrum and transmission coefficient of plane waves propagating along square ribbons of varying widths, containing a square-shaped, PT-symmetric impurity region. We start with a zero-width ribbon (1D chain) and place a PT…

Disordered Systems and Neural Networks · Physics 2024-03-21 Cristian Mejía-Cortés , Mario I. Molina

We study wavepackets that propagate across (a) topological interfaces in quantum spin systems exhibiting non-invertible symmetries and (b) duality defects coupling dual theories. We demonstrate that the transmission is always perfect, and…

High Energy Physics - Theory · Physics 2025-11-25 Atsushi Ueda , Vic Vander Linden , Laurens Lootens , Jutho Haegeman , Paul Fendley , Frank Verstraete

Unidirectional nonreciprocal transport is at the heart of many fundamental problems and applications in both science and technology. Here we study the novel design of wave diode devices by engineering asymmetric shapes of nonlinear…

Mesoscale and Nanoscale Physics · Physics 2015-09-10 Nianbei Li , Jie Ren

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

In the present paper we consider nonlinear dimers and trimers (more generally, oligomers) embedded within a linear Schr{\"o}dinger lattice where the nonlinear sites are of saturable type. We examine the stationary states of such chains in…

Pattern Formation and Solitons · Physics 2014-12-17 Daniel Law , Jennie D'Ambroise , Panayotis G. Kevrekidis , Detlef Kip

We study the possibility of asymmetric transmission induced by a non-Hermitian scattering center embedded in a one-dimensional waveguide, motivated by the aim of realizing quantum diode in a non-Hermitian system. It is shown that a…

Quantum Physics · Physics 2015-03-04 X. Q. Li , X. Z. Zhang , G. Zhang , Z. Song

We study electron transmission through a periodic array of quantum dots (QD) sandwiched between doped semiconductor leads. When the Fermi wavelength of tunneling electron exceeds the array lattice constant, the off-resonant per QD…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 L. S. Petrosyan , A. S. Kirakosyan , T. V. Shahbazyan

In the present work, we explore efficient ways to transmit binary information in discrete, semi-infinite chains of coupled oscillators using the process of nonlinear supratransmission. A previous work showed that such transmission is…

Computational Physics · Physics 2011-12-06 J. E. Macías-Díaz , A. Puri

Asymmetric transmission of waves has received considerable attention in the last few decades, inspired by numerous applications in the domains of optics and wave communications. A possible way to achieve such asymmetry in wave propagation…

Applied Physics · Physics 2024-08-20 Carlos Vasconcellos , Stéphane Job , Francisco Melo

We demonstrate symmetric wave propagations in asymmetric nonlinear quantum systems. By solving the nonlinear Sch\"ordinger equation, we first analytically prove the existence of symmetric transmission in asymmetric systems with a single…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Gaomin Wu , Yang Long , Jie Ren

We examine quantum statistical properties of transmission and reflection from a chiral waveguide coupled to qubits for arbitrary input powers. We report on several remarkable features of output fields such as transparency, quantum…

Quantum Physics · Physics 2024-12-12 Qingtian Miao , G. S. Agarwal

Nonreciprocal transmission forms the basic operation mechanism of optical diodes and isolators and requires the tantalizing task of breaking the Lorentz reciprocity law. In this work, strong nonreciprocal transmission is demonstrated by…

Optics · Physics 2020-08-10 Boyuan Jin , Christos Argyropoulos

Nonlinear Kronig-Penney model has been frequently employed to study transmission problem of electron wave in a nonlinear electrified chain or in a doped semiconductor superlattice. Here from an integral equation we derive a novel exact…

Quantum Physics · Physics 2016-02-17 Chao Kong , Kuo Hai , Jintao Tan , Hao Chen , Wenhua Hai

A system of a two-level atom of an impurity (qubit) inserted into a periodic chain coupled to the continuum is studied with the use of the effective non-Hermitian Hamiltonian. Exact solutions are derived for the quasistationary eigenstates,…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Ya. S. Greenberg , C. Merrigan , A. Tayebi , V. Zelevinsky

A system of an array of side-coupled quantum-dots attached to a quantum wire is studied theoretically. Transport through the quantum wire is investigated by means of a noninteracting Anderson tunneling Hamiltonian. Analytical expressions of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. A. Orellana , F. Dominguez-Adame , E. Diez

Electronic transmission in bent quantum wires modeled by the tight binding Hamiltonian, and clamped between ideal, semi-infinite leads is studied. The effect of `bending' the chain is simulated by introducing a non-zero hopping between the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Arunava Chakrabarti
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