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In view of its local character, the semiclassical or Boltzmann theory is intrinsically unable to describe transport phenomena on ultrashort space and time scales, and to this purpose genuine quantum-transport approaches are imperative. By…

Mesoscale and Nanoscale Physics · Physics 2014-02-13 Roberto Rosati , Fausto Rossi

The self-consistent theory of localization is generalized to account for a weak quadratic nonlinear potential in the wave equation. For spreading wave packets, the theory predicts the destruction of Anderson localization by the nonlinearity…

Disordered Systems and Neural Networks · Physics 2017-07-06 Nicolas Cherroret

Diffusive transport properties of a quantum Brownian particle moving in a tilted spatially periodic potential and strongly interacting with a thermostat are explored. Apart from the average stationary velocity, we foremost investigate the…

Statistical Mechanics · Physics 2009-11-11 L. Machura , M. Kostur , P. Talkner , J. Luczka , P. Hänggi

Results of numerical simulation of the weak localization in two-dimensional systems in wide range of magnetic filed are presented. Three cases are analyzed: (i) the isotropic scattering and randomly distributed scatterers; (ii) the…

Disordered Systems and Neural Networks · Physics 2008-12-02 A. V. Germanenko , G. M. Minkov , A. A. Sherstobitov , O. E. Rut

At low temperatures, quantum corrections, originating from the interference of the many paths an electron may take between two points, tend to dominate the transport properties of two-dimensional conductors. These quantum corrections…

Mesoscale and Nanoscale Physics · Physics 2023-04-20 Frederico Sousa , David T. S. Perkins , Aires Ferreira

We develop a procedure to modify the correlations of a speckle potential. This procedure, that is suitable for spatial light modulator devices, allows one to increase the localization efficiency of the speckle in a narrow energy region…

Quantum Gases · Physics 2014-02-18 Ardavan Alamir , Pablo Capuzzi , Samir Vartabi Kashanian , Patrizia Vignolo

We study the dynamics of wave propagation in nominally diffusive samples by solving the Bethe-Salpeter equation with recurrent scattering included in a frequency-dependent vertex function, which renormalizes the mean free path of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Z. Q. Zhang , S. K. Cheung , X. D. Zhang , A. A Chabanov , A. Z. Genack

We study the quantum transport in multiterminal networks of quasi-one-dimensional diffusive wires. When calculating the weak localization correction to the conductances, we show that the Cooperon must be properly weighted over each wire.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christophe Texier , Gilles Montambaux

Previous work has established that the localized regime of wave transport in open media is characterized by a position-dependent diffusion coefficient. In this work we study how the concept of position-dependent diffusion affects the delay…

Disordered Systems and Neural Networks · Physics 2017-05-24 B. A. van Tiggelen , S. E. Skipetrov , J. H. Page

We investigate transport properties of quantized chaotic systems in the short wavelength limit. We focus on non-coherent quantities such as the Drude conductance, its sample-to-sample fluctuations, shot-noise and the transmission spectrum,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ph. Jacquod , Robert S. Whitney

We consider the dynamics of a quantum particle in a one-dimensional periodic potential (lattice) under the action of a static and time-periodic field. The analysis is based on a nearest-neighbor tight-binding model which allows a convenient…

Quantum Physics · Physics 2008-08-12 A. Klumpp , D. Witthaut , H. J. Korsch

The interplay between disorder and quantum interference leads to a wide variety of physical phenomena including celebrated Anderson localization -- the complete absence of diffusive transport due to quantum interference between different…

Disordered Systems and Neural Networks · Physics 2025-02-21 Jonathan B. Curtis , Prineha Narang , Victor Galitski

We investigate the transport behavior of finite modular quantum systems. Such systems have recently been analyzed by different methods. These approaches indicate diffusive behavior even and especially for finite systems. Inspired by these…

Statistical Mechanics · Physics 2009-11-13 Mehmet Kadiroglu , Jochen Gemmer

We present a real-time propagation method for computing linear and nonlinear optical properties of molecules based on the Bethe-Salpeter equation. The method follows the time evolution of the one-particle density matrix under an external…

Computational Physics · Physics 2025-09-29 Štěpán Marek , Jan Wilhelm

We theoretically study the quantum transport in three-dimensional Weyl electron system in the presence of the charged impurity scattering using a self-consistent Born approximation (SCBA). The scattering strength is characterized by the…

Disordered Systems and Neural Networks · Physics 2015-01-28 Yuya Ominato , Mikito Koshino

We present an efficient numerical approach for treating ballistic quantum transport across devices described by tight binding (TB) Hamiltonians designated to systems with localized potential defects. The method is based on the wave function…

Mesoscale and Nanoscale Physics · Physics 2016-09-08 K. Kolasiński , A. Mreńca-Kolasińska , B. Szafran

In a one-dimensional (1D) disordered potential, quantum interferences leading to Anderson lo-calization are ubiquitous, such that all wave-functions are exponentially localized. Moreover, no phase transition toward delocalization is…

Atomic Physics · Physics 2020-04-08 G. Berthet , L. Lavoine , M. Parit , A. Brolis , A. Boissé , T. Bourdel

We present the detailed analysis of the diffusive transport of spatially inhomogeneous fluid mixtures and the interplay between structural and dynamical properties varying on the atomic scale. The present treatment is based on different…

Mesoscale and Nanoscale Physics · Physics 2011-05-19 Umberto Marini Bettolo Marconi , Simone Melchionna

We compute the quantum correction due to weak localization for transport properties of disordered quasi-one-dimensional conductors, by integrating the Dorokhov-Mello-Pereyra-Kumar equation for the distribution of the transmission…

Condensed Matter · Physics 2007-05-23 C. W. J. Beenakker

It is widely believed that many-body localisation in one dimension is fragile and can be easily destroyed by thermal inclusions, however there are still many open questions regarding the stability of the localised phase and under what…

Disordered Systems and Neural Networks · Physics 2023-03-30 S. J. Thomson