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We consider the phase coherent transport of a quasi one-dimensional beam of Bose-Einstein condensed particles through a disordered potential of length L. Among the possible different types of flow identified in [T. Paul et al., Phys. Rev.…

Quantum Gases · Physics 2009-09-18 T. Paul , M. Albert , P. Schlagheck , P. Leboeuf , N. Pavloff

Based on a selfconsistent theory of localization we study the electron transport properties of a disordered system in the framework of the Anderson model on a Bethe lattice. In the calculation of the dc conductivity we separately discuss…

Strongly Correlated Electrons · Physics 2009-11-10 A. Alvermann , F. X. Bronold , H. Fehske

We study Anderson localization in disordered tight-binding models on hyperbolic lattices. Such lattices are geometries intermediate between ordinary two-dimensional crystalline lattices, which localize at infinitesimal disorder, and Bethe…

Disordered Systems and Neural Networks · Physics 2024-08-20 Anffany Chen , Joseph Maciejko , Igor Boettcher

Anderson localization is ubiquitous in wavy systems with strong static and uncorrelated disorder. The delicate destructive interference underlying Anderson localization is usually washed out in the presence of temporal fluctuations or…

Disordered Systems and Neural Networks · Physics 2025-03-25 Stefano Longhi

We investigate the behavior of ultracold bosons in optical lattices with a disorder potential generated via a secondary species frozen in random configurations. The statistics of disorder is associated with the physical state in which the…

Strongly Correlated Electrons · Physics 2009-11-13 Birger Horstmann , Juan Ignacio Cirac , Tommaso Roscilde

A relation derived from the Kubo formula shows that optical conductivity measurements below the gap frequency in doped semiconductors can be used to probe directly the time-dependent quantum dynamics of charge carriers. This allows to…

Materials Science · Physics 2015-03-17 S. Ciuchi , S. Fratini , D. Mayou

We study electron localization in disordered quantum systems, focusing on both individual eigenstates and thermal states. We employ complex polarization as a numerical indicator to characterize the system's localization length. Furthermore,…

Disordered Systems and Neural Networks · Physics 2024-04-30 Chong Sun

Within the framework of tight binding models, aperiodic systems are mapped to a renormalized lattice with a dimer defect. In models exhibiting metal-insulator transition, the dimer acts like a resonant cavity and explains the existence of…

Condensed Matter · Physics 2007-05-23 Ignacio Gomez , Indubala I. Satija

We calculate the frequency-dependent mobility of the Holstein polaron in one dimension near adiabatic limit using the method based on dynamical quantum tipicality, as well as the quantum-classical method. The agreement between fully quantum…

Strongly Correlated Electrons · Physics 2025-05-09 Petar Mitrić , Vladimir Dobrosavljević , Darko Tanasković

Our previous results [J.Phys.: Condens. Matter 14 (2002) 13777] dealing with the analytical solution of the two-dimensional (2-D) Anderson localization problem due to disorder is generalized for anisotropic systems (two different hopping…

Disordered Systems and Neural Networks · Physics 2009-11-11 V. N. Kuzovkov , W. von Niessen

Signatures of strong Anderson localization in the momentum distribution of a cold atom cloud after a quantum quench are studied. We consider a quasi one-dimensional cloud initially prepared in a well defined momentum state, and expanding…

Quantum Gases · Physics 2015-06-17 T. Micklitz , C. A. Müller , A. Altland

We show that the tails of the asymptotic density distribution of a quantum wave packet that localizes in the the presence of random or quasiperiodic disorder can be described by the diagonal term of the projection over the eingenstates of…

Quantum Gases · Physics 2014-01-28 Marco Moratti , Michele Modugno

One of the daunting challenges in optical physics is to accurately control the flow of light at the subwavelength scale, by patterning the optical medium one can design anisotropic media. The light transport can also be significantly…

In many physical situations in which many-body assemblies exist at temperature $T$, a characteristic quantum-mechanical time scale of approximately $\hbar/k_{B}T$ can be identified in both theory and experiment, leading to speculation that…

Strongly Correlated Electrons · Physics 2024-10-30 F. Sun , S. Mishra , U. Stockert , R. Daou , N. Kikugawa , R. S. Perry , E. Hassinger , S. A. Hartnoll , A. P. Mackenzie , V. Sunko

Anderson localization is a general phenomenon that applies to a variety of disordered physical systems. Recently, a novel manifestation of Anderson localization for wave packets launched with a finite average velocity was proposed, the…

Disordered Systems and Neural Networks · Physics 2022-11-08 Flavio Noronha , José A. S. Lourenço , Tommaso Macrì

A one-dimensional boundary of a two-dimensional topological superconductor can host a number of topologically protected chiral modes. Combining two topological superconductors with different topological indices, it is possible to achieve a…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Daniil S. Antonenko , Eslam Khalaf , Pavel M. Ostrovsky , Mikhail A. Skvortsov

Exponential localization of wavefunctions in lattices, whether in real or synthetic dimensions, is a fundamental wave interference phenomenon. Localization of Bloch-type functions in space-periodic lattice, triggered by spatial disorder, is…

Disordered Systems and Neural Networks · Physics 2021-01-22 Adhip Pattanayak , Á. Jiménez-Galán , Misha Ivanov , Gopal Dixit

Wave propagation in disordered media can be strongly modified by multiple scattering and wave interference. Ultimately the so-called Anderson-localized regime is reached when the waves become strongly confined in space. So far, Anderson…

We examine the onset of Anderson localization in three-dimensional systems with structural disorder in the form of lattice irregularities and in the absence of any on-site disordered potential. Analyzing two models with distinct types of…

Disordered Systems and Neural Networks · Physics 2025-05-29 Sourav Bhattacharjee , Piotr Sierant , Marek Dudyński , Jan Wehr , Jakub Zakrzewski , Maciej Lewenstein

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