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It is shown that the transmission line technology can be suitably used for simulating quantum mechanics. Using manageable and at the same time non-expensive technology, several quantum mechanical problems can be simulated for significant…

Quantum Physics · Physics 2009-11-07 R. Fedele , M. A. Man'ko , V. I. Man'ko , V. G. Vaccaro

A quantum wire is spatially displaced by suitable electric fields with respect to the scatterers inside a semiconductor crystal. As a function of the wire position, the low-temperature resistance shows reproducible fluctuations. Their…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Heinzel , G. Salis , R. Held , S. Luescher , K. Ensslin , W. Wegscheider , M. Bichler

An external magnetic field, $H$, applied parallel to a quasi two-dimensional system modifies quantitatively and qualitatively the density of states. Using a self-consistent numerical approach, we study how this affects the entropy, $S$, the…

Materials Science · Physics 2008-12-05 Constantinos Simserides

An integral part of scattering theory calculations in continuum quantum systems involves identifying appropriate boundary conditions in addition to writing down the correct Hamiltonian. In the simplest problem of scattering in one…

Mesoscale and Nanoscale Physics · Physics 2022-12-16 Abhiram Soori

A new formulation of potential scattering in quantum mechanics is developed using a close structural analogy between partial waves and the classical dynamics of many non-interacting fields. Using a canonical formalism we find non-linear…

Quantum Physics · Physics 2009-11-13 M. S. Hussein , W. Li , S. Wuester

We present a double quantum wire system containing a coupling element in the middle barrier between the two parallel quantum wires. We explicitly account for the finite length of the double quantum wire with a time-dependent switching-on…

Mesoscale and Nanoscale Physics · Physics 2010-11-30 Nzar Rauf Abdullah , Chi-Shung Tang , Vidar Gudmundsson

We calculate the quantum states of regular polygons made of 1D quantum wires treating each polygon vertex as a scatterer. The vertex scattering matrix is analytically obtained from the model of a circular bend of a given angle of a 2D…

Mesoscale and Nanoscale Physics · Physics 2015-04-22 Cristian Estarellas , Llorenç Serra

Eisenbud-Wigner-Smith delay and the Larmor time give different estimates for the duration of a quantum scattering event. The difference is most pronounced in the case where de-Broglie wavelength is large compared to the size of the…

Quantum Physics · Physics 2024-01-17 X. Gutiérrez de la Cal , M. Pons , D. Sokolovski

Nanorings asymmetrically connected to wires show different kinds of quantum interference phenomena under sudden excitations and in steady current conditions. Here we contrast the transient current caused by an abrupt bias to the magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Michele Cini , Enrico Perfetto , Chiara Ciccarelli , Gianluca Stefanucci , Stefano Bellucci

The electronic transport properties in magnetically doped ultra-thin films of topological-insulators is investigated by using Landauer-buttiker formalism. The chiral selective tunneling is addressed in such systems which leads to transport…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Taahere Sabze , Hosein Cheraghchi

We study thermal transport in a one-dimensional quantum wire, connected to reservoirs. Despite of the absence of electron backscattering, interactions in the wire strongly influence thermal transport. Electrons propagate with unitary…

Mesoscale and Nanoscale Physics · Physics 2019-08-17 Rosario Fazio , F. W. J. Hekking , D. E. Khmelnitskii

We consider transport in the Poissonian regime between edge states in the quantum Hall effect. The backscattering potential is assumed to be arbitrary, as it allows for multiple tunneling paths. We show that the Schottky relation between…

Mesoscale and Nanoscale Physics · Physics 2010-11-18 Denis Chevallier , Jérôme Rech , Thibaut Jonckheere , Claire Wahl , Thierry Martin

We study a one-dimensional singular potential plus three types of regular interactions: constant electric field, harmonic oscillator and infinite square well. We use the Lippman-Schwinger Green function technique in order to search for the…

Quantum Physics · Physics 2015-09-03 M. L. Glasser , M. Gadella , L. M. Nieto

We study the theory of scattering for a Schr"odinger equation in an external time dependent magnetic field in the Coulomb gauge, in space dimension 3. The magnetic vector potential is assumed to satisfy decay properties in time that are…

Analysis of PDEs · Mathematics 2007-05-23 J. Ginibre , G. Velo

Quantum transmissions of a free particle passing through a rectangular potential barrier with dissipation are studied using a path decomposition technique. Dissipative processes strongly suppress the transmission probability at resonance…

Quantum Physics · Physics 2007-08-27 Kohkichi Konno , Munehiro Nishida , Satoshi Tanda , Noriyuki Hatakenaka

The transmission of a dipole-dominated spin wave in a ferromagnetic film through a localised inhomogeneity in the form of a magnetic field produced by a dc current through a wire placed on the film surface was studied experimentally and…

Materials Science · Physics 2009-03-05 M. P. Kostylev , A. A. Serga , T. Schneider , B. Leven , B. Hillebrands , R. L. Stamps

We consider transport through a one-dimensional conductor subject to an external periodic potential and connected to non-interacting leads (a "Mott quantum wire"). For the case of a strong periodic potential, the conductance is shown to…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Oleg A. Starykh , Dmitrii L. Maslov

The tunneling effect of a periodic potential with an asymmetric twin barrier per period is calculated using the instanton method. The model is derived from the Hamiltonian of a small ferromagnetic particle in an external magnetic field…

High Energy Physics - Theory · Physics 2014-11-18 J. -Q. Liang , H. J. W. Mueller-Kirsten , Jian-Ge Zhou , F. Zimmerschied , F. -C. Pu

Certain continuous-time quantum walks can be viewed as scattering processes. These processes can perform quantum computations, but it is challenging to design graphs with desired scattering behavior. In this paper, we study and construct…

Quantum Physics · Physics 2018-08-02 Andrew M. Childs , David Gosset , Daniel Nagaj , Mouktik Raha , Zak Webb

For a class of negative slowly decaying potentials, including $V(x):=-\gamma|x|^{-\mu}$ with $0<\mu<2$, we study the quantum mechanical scattering theory in the low-energy regime. Using modifiers of the Isozaki-Kitada type we show that…

Mathematical Physics · Physics 2007-12-04 Jan Derezinski , Erik Skibsted