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We discuss the properties of a large number N of one-dimensional (bounded) locally periodic potential barriers in a finite interval. We show that the transmission coefficient, the scattering cross section $\sigma$, and the resonances of…

Quantum Physics · Physics 2009-11-07 D. Bar , L. P. Horwitz

We analyze the tunneling of a particle through a repulsive potential resulting from an inverted harmonic oscillator in the quantum mechanical phase space described by the Wigner function. In particular, we solve the partial differential…

Quantum Physics · Physics 2013-06-07 D. M. Heim , W. P. Schleich , P. M. Alsing , J. P. Dahl , S. Varro

We study electron transport through multiply-connected mesoscopic geometries containing interacting quantum dots. Our formulation covers both equilibrium and non-equilibrium physics. We discuss the relation of coherent transport channels…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jürgen König , Yuval Gefen

Recent double-slit interference experiments have demonstrated the possibility of probing the phase of the complex transmission coefficient of a quantum dot via the Aharonov-Bohm effect. We propose an extension of these experiments: an ac…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. P. Jauho , Ned S. Wingreen

A discrete-time two-user interference channel model is developed that captures non-linear phenomena that arise in optical fiber communication employing wavelength-division multiplexing (WDM). The effect of non-linearity is that an amplitude…

Information Theory · Computer Science 2011-07-12 Hassan Ghozlan , Gerhard Kramer

By combining the definition of the Wigner distribution function (WDF) and the matrix method of optical system modeling, we can evaluate the transformation of the former in centered systems with great complexity. The effect of stops and lens…

Optics · Physics 2007-05-23 J. B. Almeida , V. Lakshminarayanan

This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating half-space in the weak-scattering regime, and the study of boundary effects through an asymptotic analysis of the…

Classical Physics · Physics 2022-12-01 Adel Messaoudi , Regis Cottereau , Christophe Gomez

The nonloclal exchange of the conserved, gauge invariant quantity $e^{\frac{i}{\hbar} (p_{k}-\frac{e}{c}A_{k})L^{k}}, L^{k}=const., k=1,2$ between the charged particle and the magnetic flux line (in the $k=3$ direction), is responsible for…

Quantum Physics · Physics 2007-05-23 Y. Aharonov , T. Kaufherr

The Aharonov-Bohm effect including spin-noncommutative effects is considered. At linear order in $\theta$, the magnetic field is gauge invariant although spatially strongly anisotropic. Despite this anisotropy, the Schr\"odinger-Pauli…

High Energy Physics - Theory · Physics 2011-08-12 A. Das , H. Falomir , J. Gamboa , F. Mendez , M. Nieto

It is observed that strings in AdS_5 x S^5 and membranes in AdS_7 x S^4 exhibit long range phase interactions. Two well separated membranes dragged around one another in AdS acquire phases of 2\pi/N. The same phases are acquired by a well…

High Energy Physics - Theory · Physics 2008-11-26 Sean A. Hartnoll

The Aharonov-Bohm effect is measured in a four-terminal open ring geometry based on a Ga[Al]As heterostructure. Two quantum dots are embedded in the structure, one in each of the two interfering paths. The number of electrons in the two…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Sigrist , A. Fuhrer , T. Ihn , K. Ensslin , S. E. Ulloa , W. Wegscheider , M. Bichler

Aharonov-Bohm Physics at the two-particle level is investigated for distinguishable interacting charged particles through the exact solution of a toy model with confined states. The effect of the inaccessible magnetic flux is distributed…

Mesoscale and Nanoscale Physics · Physics 2016-09-05 Kyriakos Kyriakou , Konstantinos Moulopoulos , Areg Ghazaryan , Anahit Djotyan

Using extensive tight-binding calculations, we investigate (including the spin) the Aharonov-Bohm (AB) effect in monolayer and bilayer trigonal and hexagonal graphene rings with zigzag boundary conditions. Unlike the previous literature, we…

Mesoscale and Nanoscale Physics · Physics 2012-04-19 Igor Romanovsky , Constantine Yannouleas , Uzi Landman

We consider interference effects within the linear description of the scattering of two-dimensional microcavity polaritons by an obstacle. The polariton wave may exhibit phase dislocations created by the interference of the incident and the…

Quantum Gases · Physics 2015-03-04 A. M. Kamchatnov , N. Pavloff

The formulation of Berry for the Aharonov-Bohm effect is generalized to the relativistic regime. Then, the problem of finding the self-adjoint extensions of the (2+1)-dimensional Dirac Hamiltonian, in an Aharonov-Bohm background potential,…

High Energy Physics - Theory · Physics 2009-10-30 H. O. Girotti , F. Fonseca Romero

We investigate magnetic deflection of currents that flow across the Aharonov-Bohm interferom- eters defined in graphene. We consider devices induced by closed n-p junctions in nanoribbons as well as etched quantum rings. The deflection…

Mesoscale and Nanoscale Physics · Physics 2016-12-02 Alina Mrenca-Kolasinska , Bartlomiej Szafran

We present a mathematical model for communication subject to both network interference and noise. We introduce a framework where the interferers are scattered according to a spatial Poisson process, and are operating asynchronously in a…

Information Theory · Computer Science 2016-11-17 Pedro C. Pinto , Moe Z. Win

Interference effects in finite sections of one-dimensional moir\'e crystals are investigated using a Landauer-B\"uttiker formalism within the tight-binding approximation. We explain interlayer transport in double-wall carbon nanotubes and…

Mesoscale and Nanoscale Physics · Physics 2021-08-03 Nils Wittemeier , Matthieu J. Verstraete , Pablo Ordejón , Zeila Zanolli

Aharonov-Bohm interferences in the quantum Hall regime are observed when electrons are transmitted between two edge channels. Such a phenomenon has been realized in 2D systems such as quantum point contacts, anti-dots and p-n junctions.…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 Viet Hung Nguyen , Jean-Christophe Charlier

We discuss the quark phase-space or Wigner distributions of the nucleon which combine in a single picture all the information contained in the generalized parton distributions and the transverse-momentum dependent parton distributions. In…

High Energy Physics - Phenomenology · Physics 2015-06-11 Cedric Lorce , Barbara Pasquini