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Multifractal properties of wave functions in a disordered system can be derived from self-consistent theory of localization by Vollhardt and Woelfle. A diagrammatic interpretation of results allows to obtain all scaling relations used in…

Disordered Systems and Neural Networks · Physics 2016-01-27 I. M. Suslov

The late-time dynamics of quantum many-body systems is organized in distinct dynamical universality classes, characterized by their conservation laws and thus by their emergent hydrodynamic transport. Here, we study transport in the…

Quantum Gases · Physics 2022-08-30 Philip Zechmann , Alvise Bastianello , Michael Knap

The effects of the propagation of particles which have a finite life-time and an according width in their mass spectrum are discussed in the context of transport descriptions. In the first part the coupling of soft photon modes to a source…

Nuclear Theory · Physics 2017-08-23 Yu. B. Ivanov , J. Knoll , H. Van Hees , D. N. Voskresensky

Although the Boltzmann transport equation (BTE) has been exploited to investigate non-diffusive phonon transport for decades, due to the challenges of solving this integro-differential equation, most standard techniques for thermal…

Materials Science · Physics 2024-08-13 Tao Li , Bo Jiang , Zhen Chen

A mixture of light and heavy atoms is considered. We study the kinetics of the light atoms, scattered by the heavy ones, the latter undergoing slow diffusive motion. In three-dimensional space we claim the existence of a crossover region…

Disordered Systems and Neural Networks · Physics 2015-01-06 E. Kogan

We study both static and transport properties of model quantum dots, employing density functional theory as well as (numerically) exact methods. For the lattice model under consideration the accuracy of the local-density approximation…

Mesoscale and Nanoscale Physics · Physics 2011-04-11 S. Schenk , P. Schwab , M. Dzierzawa , U. Eckern

Combining experimental data, numerical transport calculations, and theoretical analysis, we study the temperature-dependent resistivity of high-mobility 2D Si MOSFETs to search for signatures of weak localization induced quantum corrections…

Mesoscale and Nanoscale Physics · Physics 2014-09-17 S. Das Sarma , E. H. Hwang , K. Kechedzhi , L. A. Tracy

This work considers the propagation of high-frequency waves in highly-scattering media where physical absorption of a nonlinear nature occurs. Using the classical tools of the Wigner transform and multiscale analysis, we derive semilinear…

Analysis of PDEs · Mathematics 2025-04-23 Joseph Kraisler , Wei Li , Kui Ren , John C. Schotland , Yimin Zhong

We propose a gate-based quantum algorithm for the prediction step of Bayesian state estimation based on the Fokker-Planck equation on a discretized position-velocity state space. The probability density is encoded in the amplitudes of a…

Quantum Physics · Physics 2026-04-28 Felix Govaers

Small corrections to the uncertainty relations, with effects in the ultraviolet and/or infrared, have been discussed in the context of string theory and quantum gravity. Such corrections lead to small but finite minimal uncertainties in…

High Energy Physics - Theory · Physics 2009-10-28 Haye Hinrichsen , Achim Kempf

We analyze quantal Brownian motion in $d$ dimensions using the unified model for diffusion localization and dissipation, and Feynman-Vernon formalism. At high temperatures the propagator possess a Markovian property and we can write down an…

Condensed Matter · Physics 2009-10-31 Doron Cohen

Transport and the approach to equilibrium in interacting classical and quantum systems is a challenging problem of both theoretical and experimental interest. One useful organizing principle characterizing equilibration is the dissipative…

Statistical Mechanics · Physics 2024-08-27 Alexios A. Michailidis , Dmitry A. Abanin , Luca V. Delacrétaz

We study the Kimble-Braunstein continuous-variable quantum teleportation with the quantum channel physically realized in the turbulent atmosphere. In this context, we examine the applicability of different strategies preserving the Gaussian…

Quantum Physics · Physics 2019-09-27 K. Hofmann , A. A. Semenov , W. Vogel , Martin Bohmann

Recently, an instantaneous approximation to the Bethe-Salpeter formalism for the analysis of bound states in quantum field theory has been proposed which retains, in contrast to the Salpeter equation, as far as possible the exact…

High Energy Physics - Phenomenology · Physics 2009-11-11 Z. -F. Li , Wolfgang Lucha , F. F. Schoberl

This paper develops a modified version of the Boltzmann equation for micro-scale particulate flow with capture and diffusion that describes the colloidal-suspension-nano transport in porous media. An equivalent sink term is introduced into…

Fluid Dynamics · Physics 2020-01-23 Oleg Dinariev , Afonso Rego , Pavel Bedrikovetsky

For an isotropic single-band system, it is well known that the semiclassical Boltzmann transport theory within the relaxation time approximation and the Kubo formula with the vertex corrections provide the same result with the…

Mesoscale and Nanoscale Physics · Physics 2019-04-11 Sunghoon Kim , Seungchan Woo , Hongki Min

We investigate integer and fractional quantum Hall states in quantum point contacts (QPCs) of different geometries, defined in AlGaAs/GaAs heterostructures employing different doping and screening techniques. We find that, even in the…

Mesoscale and Nanoscale Physics · Physics 2014-03-11 S. Baer , C. Rössler , E. C. de Wiljes , P. -L. Ardelt , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

In a recent experiment [X. Yu et al., arXiv:2602.07654], energy-resolved measurements of an atomic matter wave spreading in a speckle potential enabled the direct observation of the three-dimensional Anderson transition. In this work, we…

In modern inertial fusion experiments there is a complex interplay between non-locality and magnetisation that can greatly influence transport. In this work we use a matrix recursion method to include higher-order corrections beyond the…

Plasma Physics · Physics 2021-01-12 H. C. Watkins , R. J. Kingham

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing