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In this paper, we present a unifying analytical framework for identifying conditions for transport effects such as reflectionless and transparent transport, lasing, and coherent perfect absorption in non-Hermitian nonreciprocal systems…

Mesoscale and Nanoscale Physics · Physics 2023-03-29 Hamed Ghaemi-Dizicheh

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, with specific band structure or electromagnetic waves with…

We study the coupled even number of microcavities with the balanced gain and loss between any pair of their neighboring components. The effective non-Hermitian Hamiltonian for such structure has the cyclic permutation-time symmetry with…

Quantum Physics · Physics 2015-03-26 Bing He , Liu Yang , Zhaoyang Zhang , Min Xiao

We study transport properties of an arbitrary two terminal Hermitian system within a tight-binding approximation and derive the expression for the transparency in the form, which enables one to determine exact energies of perfect (unity)…

Other Condensed Matter · Physics 2017-12-06 A. A. Gorbatsevich , N. M. Shubin

One-dimensional structures of non-Hermitian plasmonic metallic nanospheres are studied in this paper. For a single sphere, solving Maxwell's equations results in quasi-stationary eigenmodes with complex quantized frequencies. Coupled mode…

Quantum Physics · Physics 2018-12-27 Amin Tayebi , Scott Rice

We demonstrate that the non-Hermitian quantum geometric tensor (QGT) governs nonlinear electrical responses in systems with a spectral line gap. The quantum metric, which is the symmetric component of the QGT and takes complex values in…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Kai Chen , Jie Zhu

Open quantum systems governed by non-Hermitian effective Hamiltonians exhibit unique phenomena, such as the non-Hermitian skin effect, where eigenstates localize at system boundaries. We investigate this effect in a Rashba nanowire coupled…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Carlos Payá , Oliver Solow , Elsa Prada , Ramón Aguado , Karsten Flensberg

A transport methodology to study the electron transport between quantum dots arrays based in Transfer Hamiltonian approach is presented. The interactions between the quantum dots and between the quantum dots and the electrodes are…

Mesoscale and Nanoscale Physics · Physics 2012-05-10 S. Illera , N. Garcia-Castello , J. D. Prades , A. Cirera

The study explores perpendicular transport through macroscopically inhomogeneous three-dimensional disordered conductors using mesoscopic methods (real-space Green function technique in a two-probe measuring geometry). The nanoscale samples…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Branislav K. Nikolic

We generalize the fermionic renormalization group method to describe analytically transport through a double barrier structure in a one-dimensional system. Focusing on the case of weakly interacting electrons, we investigate thoroughly the…

Strongly Correlated Electrons · Physics 2009-11-07 D. G. Polyakov , I. V. Gornyi

Recent years have seen tremendous progress in the theoretical understanding of quantum systems driven dissipatively by coupling them to different baths at their edges. This was possible because of the concurrent advances in the models used…

Quantum Physics · Physics 2022-12-15 Gabriel T. Landi , Dario Poletti , Gernot Schaller

Recently, strong coupling between non-Hermitian physical systems of different nature is widely investigated due to it endows them with new properties. In this work, we investigate the energy transport between strongly coupled systems. We…

Quantum Physics · Physics 2022-11-17 I. V. Vovcenko , A. A. Zyablovsky , A. A. Pukhov , E. S. Andrianov

Perfect transfer of a quantum state through a one-dimensional chain is now well understood, allowing one not only to decide whether a fixed Hamiltonian achieves perfect transfer, but to design a suitable one. We are particularly interested…

Quantum Physics · Physics 2011-08-30 Alastair Kay

A non-unitary transformation leading to a Hatano-Nelson problem is performed on an array of equally-spaced optical waveguides. Such transformation produces a non-reciprocal system of waveguides, as the corresponding Hamiltonian becomes…

Optics · Physics 2023-07-17 Ivan Bocanegra , Héctor M. Moya-Cessa

Superdiffusion is an anomalous transport behavior. Recently, a new mechanism, termed the ``nodal mechanism," has been proposed to induce superdiffusion in quantum models. However, existing realizations of the nodal mechanism have so far…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 Shaofeng Huang , Yu-Peng Wang , Jie Ren , Chen Fang

The supersymmetric structure of a generalized non-Hermitian driven two-level system is demonstrated. A unitary rotation turns the Hamiltonian into a more convenient form. After decoupling a set of differential equations, the supersymmetric…

Quantum Physics · Physics 2025-10-16 Ivan A. Bocanegra-Garay , Luis M. Nieto

Transport of quantum or classical waves in open systems is known to be strongly affected by non-Hermitian terms that arise from an effective description of system-enviroment interaction. A simple and paradigmatic example of non-Hermitian…

Quantum Physics · Physics 2017-02-01 Stefano Longhi

In recent years, extensive research has been dedicated to the study of parity-time ($\mathcal{PT}$) symmetry, which involves the engineered balance of gain and loss in non-Hermitian optics. Complementary to $\mathcal{PT}$ symmetry, the…

Optics · Physics 2025-06-05 Bo-Wang Zhang , Cheng Shang , J. Y. Sun , Zhuo-Cheng Gu , X. X. Yi

We investigate coherent electron-switching transport in a double quantum waveguide system in a perpendicular static or vanishing magnetic field. The finite symmetric double waveguide is connected to two semi-infinite leads from both ends.…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Nzar Rauf Abdullah , Chi-Shung Tang , Andrei Manolescu , Vidar Gudmundsson

We present a model of electron transport through a random distribution of interacting quantum dots embedded in a dielectric matrix to simulate realistic devices. The method underlying the model depends only on fundamental parameters of the…

Mesoscale and Nanoscale Physics · Physics 2012-07-25 S. Illera , J. D. Prades , A. Cirera , A. Cornet