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It is shown that the conductance of a weakly disordered Luttinger-liquid quantum wire connected to non-interacting leads is affected by electron-electron interactions in the wire. This is in contrast to the case of a perfect wire the…

Condensed Matter · Physics 2009-10-28 Dmitrii L. Maslov

A nonrelativistic quantum mechanical particle moving freely on a curved surface feels the effect of the nontrivial geometry of the surface through the kinetic part of the Hamiltonian, which is proportional to the Laplace-Beltrami operator,…

Quantum Physics · Physics 2018-10-09 Neslihan Oflaz , Ali Mostafazadeh , Mehrdad Ahmady

Scattering through a straight two-dimensional quantum waveguide Rx(0,d) with Dirichlet boundary conditions on (-\infty,0)x{y=0} \cup (0,\infty)x{y=d} and Neumann boundary condition on (-infty,0)x{y=d} \cup (0,\infty)x{y=0} is considered…

Mathematical Physics · Physics 2015-06-22 Ph. Briet , J. Dittrich , E. Soccorsi

We give a detailed analysis of long range cumulative scattering effects from rough boundaries in waveguides. We assume small random fluctuations of the boundaries and obtain a quantitative statistical description of the wave field. The…

Analysis of PDEs · Mathematics 2011-11-07 Ricardo Alonso , Liliana Borcea , Josselin Garnier

Using a scattering technique based on a parametrized linear combination of atomic orbitals Hamiltonian, we calculate the ballistic quantum conductance of multi-wall carbon nanotubes. We find that inter-wall interactions not only block some…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Sanvito , Y. -K. Kwon , D. Tománek , C. J. Lambert

We consider a fully quantized model of spontaneous emission, scattering, and absorption, and study propagation of a single photon from an emitting atom to a detector atom both with and without an intervening scatterer. We find an exact…

Quantum Physics · Physics 2009-11-07 Thomas Purdy , Daniel R. Taylor , Martin Ligare

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

We present a renewed wave-packet analysis based on the following ideas: if a quantum one-particle scattering process and the corresponding state are described by an indivisible wave packet to move as a whole at all stages of scattering,…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at randomly perturbed interfaces between the guiding layers of high index of refraction and the host…

Analysis of PDEs · Mathematics 2018-12-05 Liliana Borcea , Josselin Garnier

The method is proposed adapted for calculating the T=0 conductance of arbitrarily stretched disordered conducting strips in terms of the Kubo theory. The 2D scattering problem is solved through exact one-dimensionalization in mode…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yu. V. Tarasov

Nonlinear single Compton scattering has been thoroughly investigated in the literature under the assumption that initially the electron has a definite momentum. Here, we study a more general initial state, and consider the electron as a…

High Energy Physics - Phenomenology · Physics 2016-05-04 A. Angioi , F. Mackenroth , A. Di Piazza

It is shown that the amplitude for reflection of a Dirac particle with arbitrarily low momentum incident on a potential of finite range is -1 and hence the transmission coefficient T=0 in general. If however the potential supports a…

High Energy Physics - Theory · Physics 2008-11-26 Norman Dombey , Piers Kennedy

In conventional scattering theory, by large-distance asymptotics, at the cost of losing the information of the distance between target and observer, one imposes a large-distance asymptotics to achieve a scattering wave function which can be…

Mathematical Physics · Physics 2016-12-02 Wen-Du Li , Wu-Sheng Dai

We show that the scaling exponent for tunneling into a quantum wire in the "Coulomb Tonks gas" regime of impenetrable, but otherwise free, electrons is affected by impurity scattering in the wire. The exponent for tunneling into such a wire…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Kindermann

This review is devoted to the different techniques that have been developed to compute the phase-coherent transport properties of quantum nanoelectronic systems connected to electrodes. Beside a review of the different algorithms proposed…

The scattering phase shift of an electron transferred through a quantum dot is studied within a model Hamiltonian, accounting for both the electron--electron interaction in the dot and a finite temperature. It is shown that, unlike in an…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Yuval Gefen

We present a time dependent quantum calculation of the scattering of a few-photon pulse on a single atom. The photon wave packet is assumed to propagate in a transversely strongly confined geometry, which ensures strong atom-light coupling…

Quantum Physics · Physics 2009-11-07 Peter Domokos , Peter Horak , Helmut Ritsch

Elastic light scattering by low-dimensional semiconductor objects is investigated theoretically. The differential cross section of resonant light scattering on excitons in quantum dots is calculated. The polarization and angular…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 I. G. Lang , L. I. Korovin , S. T. Pavlov

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 properties of scattering phases in quantum dots are analyzed with the help of lattice models. We first derive the expressions relating the different scattering phases and the dot Green functions. We analyze in detail the Friedel sum…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Levy Yeyati , M. Buttiker