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We introduce an approach to describe quantum-coherent evolution of a system of cold atoms in an optical lattice triggered by a change in superlattice potential. Using a time-dependent mean field description, we map the problem to a strong…

Strongly Correlated Electrons · Physics 2008-06-30 M. B. Hastings , L. S. Levitov

Linear defect modes in one-dimensional photonic lattices are studied theoretically. For negative (repulsive) defects, various localized defect modes are found. The strongest confinement of the defect modes appear when the lattice intensity…

Optics · Physics 2009-11-11 Francesco Fedele , Jianke Yang , Zhigang Chen

Anderson localization is a fundamental phenomenon in disordered quantum systems, where transport is suppressed by wave interference from extensive randomness. Moving beyond traditional multi-impurity scenarios, we investigate…

Disordered Systems and Neural Networks · Physics 2026-03-03 Niaz Ali Khan , Munsif Jan , Muzamil Shah , Muhammad Sajid , Muhammad Mateen , Mushtaq Ali

We show that finite lattices with arbitrary boundaries may support large degenerate subspaces, stemming from the underlying translational symmetry of the lattice. When the lattice is coupled to an environment, a potentially large number of…

Mesoscale and Nanoscale Physics · Physics 2020-06-08 Jordi Mur-Petit , Rafael A. Molina

Continuous One-dimensional models supporting extended states are studied. These delocalized statesoccur at well defined values of the energy and are consequences of simple statistical correlation rules. We explicitly study alloys of…

Disordered Systems and Neural Networks · Physics 2009-10-30 M. Hilke , J. C. Flores

Intersubband response in a superlattice subjected to a homogeneous electric field (biased superlattice with equipopulated levels) is studied within the tight-binding approximation, taking into account the interplay between homogeneous and…

Other Condensed Matter · Physics 2009-11-13 A. Hernández-Cabrera , P. Aceituno , F. T. Vasko

Fluctuating local diamagnetic pairs of electrons, embedded in a Fermi sea, are candidates for non-phonon-mediated superconductors without the stringent conditions on Tc which arise in phonon-mediated BCS classical low-Tc superconductors.…

Superconductivity · Physics 2009-11-13 Julius Ranninger , Alfonso Romano

The localization of light in flat-band lattices has been recently proposed and experimentally demonstrated in several configurations, assuming a classical description of light. Here, we study the problem of light localization in the quantum…

Quantum Physics · Physics 2017-10-11 Santiago Rojas-Rojas , Luis Morales-Inostroza , Rodrigo A. Vicencio , Aldo Delgado

Reduced transport and localization in isolated quantum systems are typically attributed to spatially-extended disorder, but may also emerge from the influence of a few controllable defects. We show here how a single defect profoundly…

Quantum Physics · Physics 2026-05-15 Anish Acharya , Luca Giuggioli , Shamik Gupta

We examine the spectrum of small perturbations around global and local (gauge) abelian vortices, using simple numerical matrix techniques. The results are of interest for both cosmic strings and for their condensed matter analogues,…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Goodband , M. Hindmarsh

The density of states of Dirac fermions with a random mass on a two-dimensional lattice is considered. We give the explicit asymptotic form of the single-electron density of states as a function of both energy and (average) Dirac mass, in…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Simon Villain-Guillot , Giancarlo Jug , Klaus Ziegler

Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transition, quantum Hall effect, light propagation in…

Chaotic Dynamics · Physics 2015-10-06 Sergej Flach

Lattice fermions in a fluctuating gauge field can show localization, much like electrons in a disordered potential. We study the spectrum of localized and extended states of supercritical Wilson fermions in gauge ensembles generated with…

High Energy Physics - Lattice · Physics 2007-05-23 Benjamin Svetitsky , Yigal Shamir , Maarten Golterman

We investigate theoretically a semiconductor quantum wire under the effect of an intense off-resonant cw laser. We show that in the regime of strong exciton-phonon coupling the light-dressed ground state of the wire reveals…

Other Condensed Matter · Physics 2007-05-23 M. V. Katkov , C. Piermarocchi

In this article, localized linear defect modes due to bandgap guidance in two-dimensional photonic lattices with localized or non-localized defects are investigated theoretically. First, when the defect is localized and weak, eigenvalues of…

Optics · Physics 2009-11-13 Jiandong Wang , Jianke Yang , Zhigang Chen

Mesoscopic fluctuations of the local density of states encode multifractal correlations in disorderedelectron systems. We study fluctuations of the local density of states in a superconducting state of weakly disordered films. We perform…

Disordered Systems and Neural Networks · Physics 2021-11-05 M. Stosiek , F. Evers , I. S. Burmistrov

It is shown that optimum control of dynamical localization (quantum suppression of classical diffusion) in the context of ultracold atoms in periodically shaken optical lattices subjected to time-periodic forces having equidistant zeros…

Quantum Physics · Physics 2014-09-17 F. Revuelta , R. Chacón , F. Borondo

The existence of Anderson localization, characterized by vanishing diffusion due to strong disorder, has been demonstrated in numerous ways. A systematic approach based on the Anderson quantum model of the Fermi gas in random lattices that…

Disordered Systems and Neural Networks · Physics 2026-03-26 Václav Janiš

We study the ground state of two-dimensional classical electron solids under the influence of modulation-doped impurities by using a simulated annealing molecular dynamics method. By changing the setback distance as a parameter, we find…

Condensed Matter · Physics 2009-10-22 Min-Chul Cha , H. A. Fertig

From density functional calculations, we show that localized states stemming from defects or topological disorder exhibit an anomalously large electron-phonon coupling. We provide a simple analysis to explain the observation and perform a…

Disordered Systems and Neural Networks · Physics 2009-11-10 Raymond Atta-Fynn , Parthapratim Biswas , D. A. Drabold
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