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We study transport of interacting electrons in a low-dimensional disordered system at low temperature $T$. In view of localization by disorder, the conductivity $\sigma(T)$ may only be non-zero due to electron-electron scattering. For weak…

Disordered Systems and Neural Networks · Physics 2009-11-11 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We exploit the variation of the atomic interaction in order to move ultra-cold atoms across an AC-driven periodic lattice. By breaking relevant symmetries, a gathering of atoms is achieved. Accurate control of the gathered atoms positions…

Pattern Formation and Solitons · Physics 2015-05-18 L. Morales-Molina , E. Arevalo

Environment-induced localization transitions (LT) occur when a small quantum system interacts with a bath of harmonic oscillators. At equilibrium, LTs are accompanied by an entropy change, signaling the loss of coherence. Despite extensive…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Zhanyu Ma , Cheolhee Han , Yigal Meir , Eran Sela

Using the level--spacing distribution and the total probability function of the numbers of levels in a given energy interval we analyze the crossover of the level statistics between the delocalized and the localized regimes. By numerically…

Condensed Matter · Physics 2009-10-28 Isa Kh. Zharekeshev , Bernhard Kramer

We report on anomalous light transport in the strong scattering regime. Using low-coherence interferometry, we measure the reflection matrix of titanium dioxide powders, revealing crucial features of strong optical scattering which can not…

Disordered Systems and Neural Networks · Physics 2022-08-11 Laura A. Cobus , Georg Maret , Alexandre Aubry

We demonstrate experimentally that structural perturbations imposed on highly-dispersive photonic crystal-based waveguides give rise to spectral features that bear signatures of Anderson localization. Sharp resonances with the effective Qs…

Optics · Physics 2009-11-13 Juraj Topolancik , Rob Ilic , Frank Vollmer

Anderson localization is the ubiquitous phenomenon of inhibition of transport of classical and quantum waves in a disordered medium. In dimension one, it is well known that all states are localized, implying that the distribution of an…

Disordered Systems and Neural Networks · Physics 2022-06-14 Clément Hainaut , Jean-François Clément , Pascal Szriftgiser , Jean Claude Garreau , Adam Rançon , Radu Chicireanu

We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced Anderson localization in the bulk via the study of Lyapunov exponents. We obtain a proof that the change of the…

Disordered Systems and Neural Networks · Physics 2026-03-25 Silvio Barandun

Exceptional points, that are spectral degeneracies in the parameter space of non-Hermitian systems, have evoked a massive interest in the optical domain owing to their striking consequences on optical behavior of commonly known systems.…

Optics · Physics 2023-01-18 Krishna Joshi , Sushil Mujumdar

The phenomenon of Anderson localization wherein non-interacting electrons are localized by quenched impurities is a subject matter that has been extremely well studied. However, localization transition under the combined influence of…

Strongly Correlated Electrons · Physics 2018-04-24 Shashikant Singh Kunwar , Prabuddha B. Chakraborty , R. Narayanan

We study the Anderson localization of atomic gases exposed to three-dimensional optical speckles by analyzing the statistics of the energy-level spacings. This method allows us to consider realistic models of the speckle patterns, taking…

Quantum Gases · Physics 2015-06-17 Elisa Fratini , Sebastiano Pilati

We study Anderson localization and propagation of partially-spatially incoherent wavepackets in linear disordered potentials, motivated by the insight that interference phenomena resulting from multiple scattering are affected by the…

Optics · Physics 2015-05-27 D. Čapeta , J. Radić , A. Szameit , M. Segev , H. Buljan

We predict Anderson localization of light with nested screw topological dislocations propagating in disordered two-dimensional arrays of hollow waveguides illuminated by vortex beams. The phenomenon manifests itself in the statistical…

After decades of explorations, suffering from low critical temperature and subtle nature, whether a metallic ground state exists in a two-dimensional system beyond Anderson localization is still a mystery. Supremely, phase coherence could…

Anderson localization is a universal quantum feature caused by destructive interference. On the other hand chiral symmetry is a key ingredient in different problems of theoretical physics: from nonperturbative QCD to highly doped…

Disordered Systems and Neural Networks · Physics 2007-05-23 Antonio M. Garcia-Garcia , Emilio Cuevas

In a closed single-particle quantum system, spatial disorder induces Anderson localization of eigenstates and halts wave propagation. The phenomenon is vulnerable to interaction with environment and decoherence, that is believed to restore…

Disordered Systems and Neural Networks · Physics 2018-01-17 I. I. Yusipov , T. V. Laptyeva , M. V. Ivanchenko

We introduce a mathematically rigorous analysis of a generalized spin-boson system for the treatment of a donor-acceptor (reactant-product) quantum system coupled to a thermal quantum noise. The donor/acceptor probability dynamics describes…

Mathematical Physics · Physics 2012-09-05 Marco Merkli , Gennady Berman , Richard Sayre

I discuss the properties of electron states in amorphous Si based on large scale calculations with realistic several thousand atom models. A relatively simple model for the localized to extended (Anderson) transition is reviewed. Then, the…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. A. Drabold

The interplay between Mott and Anderson routes to localization in disordered interacting systems gives rise to different transitions and transport regimes. Here, we investigate the phase diagram at finite temperatures using dynamical mean…

Strongly Correlated Electrons · Physics 2015-09-25 Helena Braganca , M. C. O. Aguiar , J. Vucicevic , D. Tanaskovic , V. Dobrosavljevic

Anderson localization, i.e. the suppression of diffusion in lattices with random or incommensurate disorder, is a fragile interference phenomenon which is spoiled out in the presence of dephasing effects or fluctuating disorder. As a…

Optics · Physics 2025-04-10 Stefano Longhi