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A multi-branch quantum circuit is considered from the viewpoint of coherent electron or wave transport. Starting with the closed system, we give analytical conditions for the appearance of two isolated localized states out of the energy…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 A. Ziletti , F. Borgonovi , G. L. Celardo , F. M. Izrailev , L. Kaplan , V. G. Zelevinsky

A one-dimensional, two-channel quantum wire is studied in the effective non-Hermitian Hamiltonian framework. Analytical expressions are derived for the band structure of the isolated wire. Quantum states and transport properties of the wire…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Amin Tayebi , Vladimir Zelevinsky

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

Using an approach to open quantum systems based on the effective non-Hermitian Hamiltonian, we fully describe transport properties for a paradigmatic model of a coherent quantum transmitter: a finite sequence of square potential barriers.…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 G. L. Celardo , A. M. Smith , S. Sorathia , V. G. Zelevinsky , R. A. Sen'kov , L. Kaplan

The electronic transport of a noninteracting quantum ring side-coupled to a quantum wire is studied via a single-band tunneling tight-binding Hamiltonian. We found that the system develops an oscillating band with antiresonances and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 P. A. Orellana , M. L. Ladron de Guevara , M. Pacheco , A. Latge

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 consider electronic transport through a single-molecule junction where the molecule has a degenerate spectrum. Unlike previous transport models, and theories a rate-equations description is no longer possible, and the quantum coherences…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Maximilian G. Schultz

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…

We theoretically show that intriguing features of coherent many-body physics can be observed in electron transport through a quantum dot (QD). We first derive a master equation based framework for electron transport in the Coulomb-blockade…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Martin J. A. Schuetz , Eric M. Kessler , J. Ignacio Cirac , Geza Giedke

Quantum state transfer (QST) describes the coherent passage of quantum information from one node in a network to another. Experiments on QST span a diverse set of platforms and currently report transport across up to tens of nodes in times…

Quantum Physics · Physics 2024-05-21 Alexander Yue , Rubem Mondaini , Qiujiang Guo , Richard T. Scalettar

When the degeneracies of the ring-Hamiltonian are removed by the asymmetric ring-to-electrodes configuration for an open quantum ring (OQR), the overall junction transmission function exhibits fano-type antiresonance, resulting a net…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Moumita Patra , Bijay Kumar Agarwalla , Santanu K. Maiti

Using an energy-independent non-Hermitian Hamiltonian approach to open systems, we fully describe transport through a sequence of potential barriers as external barriers are varied. Analyzing the complex eigenvalues of the non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2014-07-29 G. L. Celardo , L. Kaplan

The coherent quantum transport of matter wave through a ring-shaped circuit attached to leads defines an iconic system in mesoscopic physics that has allowed both to explore fundamental questions in quantum science and to draw important…

Quantum Gases · Physics 2025-06-17 Francesco Perciavalle , Oliver Morsch , Davide Rossini , Luigi Amico

We consider the problem of energy transport in a chain of coupled quantum systems with the goal of shedding light on how nonclassical resources can affect transport. We study the cases for which either coherent or incoherent energy hopping…

Quantum Physics · Physics 2021-06-03 I. Medina , S. V. Moreira , F. L. Semião

Starting from a general $N$-band Hamiltonian with weak spatial and temporal variations, we derive a low energy effective theory for transport within one or several overlapping bands. To this end, we use the Wigner representation that allows…

Mesoscale and Nanoscale Physics · Physics 2013-08-09 Christian Wickles , Wolfgang Belzig

We study quantum charge transport in two-dimensional networks in the presence of a magnetic field and spin-orbit interaction. The interplay of the corresponding Abelian and non-Abelian gauge fields leads to an intricate behavior of the…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 A. V. Poshakinskiy , L. E. Golub

We explore theoretically how the coupling to cavity vacuum fields affects the electron transport in quantum conductors due to the counter-rotating-wave terms of light-matter interaction. We determine the quantum conductance in terms of the…

Mesoscale and Nanoscale Physics · Physics 2023-01-31 Geva Arwas , Cristiano Ciuti

A quantum phase transition is an unequivocal signature of strongly correlated many-body physics. Signatures of such phenomena are yet to be observed in ballistic transport through quantum wires. Recent developments in quantum wires have…

Strongly Correlated Electrons · Physics 2017-07-26 Abolfazl Bayat , Sanjeev Kumar , Michael Pepper , Sougato Bose

Coherent evolution governs the behaviour of all quantum systems, but in nature it is often subjected to influence of a classical environment. For analysing quantum transport phenomena quantum walks emerge as suitable model systems. In…

Traditional theories of electron transport in crystals are based on the Boltzmann equation and do not capture physics arising from quantum coherence. We introduce a transport formalism based on ''orbital Wigner functions'', which accurately…

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