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Anderson localization, i.e., destructive quantum interference of multiple-scattering paths, halts transport entirely. Contrarily, time-dependent random forces expedite transport via Fermi acceleration, proposed as a mechanism for…

The phenomenon of Anderson localization, occurring in a disordered medium, significantly influences the dynamics of quantum particles. A fascinating manifestation of this is the "quantum boomerang effect" (QBE), observed when a quantum…

Disordered Systems and Neural Networks · Physics 2024-04-26 Santiago Zamora , Lisan M. M. Durão , Flavio Noronha , Tommaso Macrì

Anderson localization confines the wave function of a quantum particle in a one-dimensional random potential to a volume of the order of the localization length $\xi$. Nonlinear add-ons to the wave dynamics mimic many-body interactions on a…

Disordered Systems and Neural Networks · Physics 2022-03-10 Arindam Mallick , Sergej Flach

A mixture of two fermionic species with different masses is studied in an optical lattice. The heavy fermions are subject only to thermal fluctuations, the light fermions also to quantum fluctuations. We derive the Ising-like distribution…

Disordered Systems and Neural Networks · Physics 2009-04-13 O. Fialko , K. Ziegler

We solve the Anderson localization problem on a two-leg ladder by the Fokker-Planck equation approach. The solution is exact in the weak disorder limit at a fixed inter-chain coupling. The study is motivated by progress in investigating the…

Disordered Systems and Neural Networks · Physics 2012-07-19 Hong-Yi Xie , Vladimir E. Kravtsov , Markus Müller

Anderson localization, the absence of diffusion in disordered media, draws its origins from the destructive interference between multiple scattering paths. The localization properties of disordered systems are expected to be dramatically…

We develop a real space cluster extension of the typical medium theory (cluster-TMT) to study Anderson localization. By construction, the cluster-TMT approach is formally equivalent to the real space cluster extension of the dynamical mean…

Disordered Systems and Neural Networks · Physics 2021-10-01 Ka-Ming Tam , Hanna Terletska , Tom Berlijn , Liviu Chioncel , Juana Moreno

Wave localization is ubiquitous in disordered media -- from amorphous materials, where soft-mode localization is closely related to materials failure, to semi-conductors, where Anderson localization leads to metal-insulator transition. Our…

Soft Condensed Matter · Physics 2020-07-30 Tingtao Zhou , Dimitrios Fraggedakis , Fan Wang

We numerically study the expansion dynamics of ultracold atoms in a one-dimensional disordered potential in the presence of a weak position measurement of the atoms. We specifically consider this position measurement to be realized by a…

Quantum Gases · Physics 2015-06-05 Boris Nowak , Jami J. Kinnunen , Murray J. Holland , Peter Schlagheck

Recent experiments on non-interacting ultra-cold atoms in correlated disorder have yielded conflicting results regarding the so-called mobility edge, i.e. the energy threshold separating Anderson localized from diffusive states. At the same…

Quantum Gases · Physics 2017-05-03 Michael Pasek , Giuliano Orso , Dominique Delande

Classical particles in random potentials typically experience a percolation phase transition, being trapped in clusters of mean size $\chi$ that diverges algebraically at a percolation threshold. In contrast, quantum transport in random…

Disordered Systems and Neural Networks · Physics 2026-02-27 Margaux Vrech , Jan Major , Dominique Delande , Marcel Filoche , Nicolas Cherroret

We show that atoms or molecules subject to fields that couple their internal and translational (momentum) states may undergo a crossover from randomization (diffusion) to strong localization (sharpening) of their momentum distribution. The…

Soft Condensed Matter · Physics 2013-05-29 Nir Bar-Gill , Gershon Kurizki

Within the context of a hybrid strong/weak coupling model of jet quenching, we study the modification of the angular distribution of the energy within jets in heavy ion collisions, as partons within jet showers lose energy and get kicked as…

High Energy Physics - Phenomenology · Physics 2017-04-26 Jorge Casalderrey-Solana , Doga Gulhan , Guilherme Milhano , Daniel Pablos , Krishna Rajagopal

In the late seventies an increasing interest in the scaling theory of Anderson localization led to new efforts to understand the conductance of systems which scatter electrons elastically. The conductance and its relation to the scattering…

Mesoscale and Nanoscale Physics · Physics 2010-07-05 Markus Büttiker , Michael Moskalets

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

We report a theoretical study of Anderson localization of nonclassical light with emphasis on the quantum statistical aspects of localized light. We demonstrate, from the variance in mean intensity of localized light, as well as…

Optics · Physics 2010-04-22 Clinton Thompson , Gautam Vemuri , G. S. Agarwal

Diffusive transport is among the most common phenomena in nature [1]. However, as predicted by Anderson [2], diffusion may break down due to interference. This transition from diffusive transport to localization of waves should occur for…

Disordered Systems and Neural Networks · Physics 2009-11-11 Martin Störzer , Peter Gross , Christof M. Aegerter , Georg Maret

It is shown that homogeneous line-broadening in a diffuse cold atom cloud is proportional to the resonant optical depth of the cloud. Further, it is demonstrated how the strong directionality of the coherent interactions causes the cloud's…

Atomic Physics · Physics 2016-09-21 R. T. Sutherland , Francis Robicheaux

We present an experimental signature of the Anderson localisation of microcavity polaritons, and provide a systematic study of the dependence on disorder strength. We reveal a controllable degree of localisation, as characterised by the…

Dimension 2 is expected to be the lower critical dimension for Anderson localization in a time reversal-invariant disordered quantum system. Using an atomic quasiperiodic kicked rotor -- equivalent to a two-dimensional Anderson-like model…

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