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This chapter is a pedagogical review of methods and results for studying wave propagation in one-dimensional complex structures. We describe and compare the tight-binding, scattering matrix, transfer matrix and Riccati formalisms. We…

Optics · Physics 2012-11-02 Eric Akkermans , Gerald Dunne , Eli Levy

We study the conductance statistical features of ballistic electrons flowing through a chaotic quantum dot. We show how the temperature affects the universal conductance fluctuations by analyzing the influence of dephasing and thermal…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. R. P. Alves , C. H. Lewenkopf

We discuss heating and decoherence in traps for ions and neutral particles close to metallic surfaces. We focus on simple trap geometries and compute noise spectra of thermally excited electromagnetic fields. If the trap is located in the…

Quantum Physics · Physics 2007-05-23 C. Henkel , M. Wilkens

There is still a gap in understanding phonons scattering by geometrical defects at the nanoscale, and it remains a significant challenge for heat transfer management in nanoscale devices and systems. In this study, we aim to explore the…

Mesoscale and Nanoscale Physics · Physics 2024-03-19 Mykola Isaiev , Nataliia Kyrychenko , Vasyl Kuryliuk , David Lacroix

Diffraction of atoms from surfaces provides detailed insights into structures, interactions, and dynamical processes. However, currently the method is limited to measurements in reflection - diffraction through materials has only been…

We discuss metric perturbations of the relativistic diffusion equation around the homogeneous Juttner equilibrium of massless particles in a homogeneous expanding universe. The metric perturbation describes matter distribution and the…

General Relativity and Quantum Cosmology · Physics 2015-02-27 Z. Haba

A version of scattering theory that was developed many years ago to treat nuclear scattering processes, has provided a powerful tool to study universality in scattering processes involving open quantum systems with underlying classically…

Chaotic Dynamics · Physics 2022-10-12 L. E. Reichl , G. Akguc

I explore a theory of transport and optical properties of strange metallic carriers in strongly correlated systems that follows from assuming that the diffusion constant has reached its quantum limit $D=\hbar/m$, and that such quantum…

Strongly Correlated Electrons · Physics 2026-02-10 Simone Fratini

We investigate nonlinear transport properties of quantum conductors in response to both electrical and thermal driving forces. Within scattering approach, we determine the nonequilibrium screening potential of a generic mesoscopic system…

Mesoscale and Nanoscale Physics · Physics 2013-01-16 David Sanchez , Rosa Lopez

The problem of electron scattering on the one-dimensional complexes is considered. We propose a novel theoretical approach to solution of the transport problem for a quantum graph. In the frame of the developed approach the solution of the…

Mathematical Physics · Physics 2011-09-01 Alexander F. Klinskikh , Anton V. Dolgikh , Peter A. Meleshenko , Sergey A. Sviridov

In nematic liquid crystals light is strongly scattered from director fluctuations. We are interested in the limit where the incoming light wave is scattered many times. Then, the light transport can be described by a diffusion equation for…

Soft Condensed Matter · Physics 2008-02-03 Holger Stark

We review recent progresses in the theoretical description of correlation and quantum fluctuation phenomena in charge transport through single molecules, quantum dots, and quantum wires. A variety of physical phenomena is addressed,…

Mesoscale and Nanoscale Physics · Physics 2010-06-28 S. Andergassen , V. Meden , H. Schoeller , J. Splettstoesser , M. R. Wegewijs

Matter-wave interferometry of ultra-cold atoms with attractive interactions is studied at the full many-body level. First, we study how a coherent light-pulse applied to an initially-condensed solitonic system splits it into two…

Quantum Physics · Physics 2014-12-15 Oksana I. Streltsova , Alexej I. Streltsov

Transport properties of narrow two-dimensional conducting wires in which the electron scattering is caused by side edges' roughness have been studied. The method for calculating dynamic characteristics of such conductors is proposed which…

Mesoscale and Nanoscale Physics · Physics 2013-02-01 N. M. Makarov , Yu. V. Tarasov

Elastic wave characteristics of the heat conduction in low-temperature thin wires can be studied via a wave scattering formalism. A reaction matrix formulation of heat conductance modeled by elastic wave scattering is advocated. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-12 Gursoy B. Akguc , Jiangbin Gong

It is demonstrated that measurements of positions of atoms scattered from a quasi-condensate in a Raman process provide information on the temperature of the parent cloud. In particular, the widths of the density and second order…

Quantum Gases · Physics 2013-01-28 T. Wasak , J. Chwedenczuk , P. Zin , M. Trippenbach

The guiding and transport of energy, for example of electromagnetic waves underpins many technologies that have shaped modern society, ranging from long distance optical fibre telecommunications to on-chip optical processors. Traditionally,…

We examine the applicability of the weak wave turbulence theory in explaining experimental scaling results obtained for the diffusion and relative diffusion of particles moving on turbulent surface waves. For capillary waves our theoretical…

Chaotic Dynamics · Physics 2007-09-23 Victor M. Eguiluz , Mogens T. Levinsen , Preben Alstrom

When a cold atomic gas is illuminated by a quasi-resonant laser beam, light-induced dipole-dipole correlations make the scattering of light a cooperative process. Once a fluid description is adopted for the atoms, many scattering properties…

Optics · Physics 2013-10-23 N. Piovella , R. Bachelard , Ph. W. Courteille

The recent development of a scanning thermal microscope (SThM) has led to measurements of radiative heat transfer between a heated sensor and a cooled sample down to the nanometer range. This allows for comparision of the known theoretical…

Mesoscale and Nanoscale Physics · Physics 2011-03-18 Svend-Age Biehs
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