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We develop a numerical method for the time evolution of Gaussian wave packets on flat-band lattices in the presence of correlated disorder. To achieve this, we introduce a method to generate random on-site energies with prescribed…

Disordered Systems and Neural Networks · Physics 2024-07-23 Qi Li , Junfeng Liu , Ke Liu , Zi-Xiang Hu , Zhou Li

We present a novel model to calculate single-electron states in random quantum dot superlattices made of wide-gap semiconductors. The source of disorder comes from the random arrangement of the quantum dots (configurational disorder) as…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. Gomez , F. Dominguez-Adame , E. Diez , P. Orellana

Ultracold atoms in optical lattices offer a unique platform for investigating disorder-driven phenomena. While static disordered site potentials have been explored in a number of optical lattice experiments, a more general control over…

Quantum Gases · Physics 2017-09-28 Fangzhao Alex An , Eric J. Meier , Bryce Gadway

A macroscopic, self-propelled wave-particle entity (WPE) that emerges as a walking droplet on the surface of a vibrating liquid bath exhibits several hydrodynamic quantum analogs. We explore the rich dynamical and quantum-like features…

Chaotic Dynamics · Physics 2025-02-17 Rahil N. Valani , Álvaro G. López

Order-disorder transitions take place in many physical systems, but observing them in detail in real materials is difficult. In two- or quasi-two-dimensional systems, the transition has been studied by computer simulations and…

Superconductivity · Physics 2015-04-14 M. Zehetmayer

We calculate the dynamic effective electron-electron interaction potential for a low density disordered two-dimensional electron gas. The disordered response function is used to calculate the effective potential where the scattering rate is…

Strongly Correlated Electrons · Physics 2009-10-31 J. S. Thakur , D. Neilson

We study the equilibrium and non-equilibrium properties of strongly interacting bosons on a lattice in presence of a random bounded disorder potential. Using a Gutzwiller projected variational technique, we study the equilibrium phase…

Quantum Gases · Physics 2015-06-11 Chien-Hung Lin , Rajdeep Sensarma , K. Sengupta , S. Das Sarma

Inspired by the problem of elastic wave scattering on wrinkled interfaces, we studied the scattering of ballistic electrons on a wrinkled potential energy region. The electron transmission coefficient depends on both wrinkle amplitude and…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 T. L. Mitran , G. A. Nemnes , L. Ion , Daniela Dragoman

The transmission matrix of a disordered medium, experimentally accessible for classical waves and central to the theory of mesoscopic electronic transport, supports transmission eigenchannels ranging from complete to vanishing transmission.…

Optics · Physics 2026-05-19 Israel Kurtz , Yiming Huang , Zhou Shi , Azriel Z Genack

We study the thermodynamic condensation of microcavity polaritons using a realistic model of disorder in semiconductor quantum wells. This approach correctly describes the polariton inhomogeneous broadening in the low density limit, and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. M. Marchetti , J. Keeling , M. H. Szymanska , P. B. Littlewood

We study numerically the expansion dynamics of an initially confined quantum wave packet in the presence of a disordered potential and a uniform bias force. For white-noise disorder, we find that the wave packet develops asymmetric…

Quantum Gases · Physics 2018-01-24 C Crosnier de Bellaistre , C Trefzger , A. Aspect , A. Georges , L Sanchez-Palencia

I report a theoretical study of collective coherent quantum-mechanical oscillations in disordered superconducting quantum metamaterials (SQMs), i.e artificially fabricated arrays of interacting qubits (two-levels system). An unavoidable…

Quantum Physics · Physics 2016-10-25 M. V. Fistul

We study the motion of electrons in a single miniband of a semiconductor superlattice driven by THz electric field polarized along the growth direction. We work in the semiclassical balance-equation model, including different elastic and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kirill N. Alekseev , Ethan H. Cannon , Jonathan C. McKinney , Feodor V. Kusmartsev , David K. Campbell

In weakly coupled, current biased, doped semiconductor superlattices, domain walls may move upstream against the flow of electrons. For appropriate doping values, a domain wall separating two electric field domains moves downstream below a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Carpio , L. L. Bonilla , A. Wacker , E. Schoell

We analyze effects of a random magnetic potential in a microfabricated waveguide for ultra-cold atoms. We find that the shape and position fluctuations of a current carrying wire induce strongly disordered potential that is quasiperiodic…

Soft Condensed Matter · Physics 2009-11-10 Daw-Wei Wang , Mikhail D. Lukin , Eugene Demler

Despite considerable work on the energy-level and wavefunction statistics of disordered quantum systems, numerical studies of those statistics relevant for electron-electron interactions in mesoscopic systems have been lacking. We plug this…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mike Miller , Denis Ullmo , Harold U. Baranger

We develop a microscopic theory of electron transport in superlattices within the Wannier-Stark approach by including the interaction associated with Zener tuneling among the energy levels pertaining to adjacent quantum wells. By using a…

Other Condensed Matter · Physics 2009-11-13 Angelo Guida , Lino Reggiani , Marcello Rosini

We consider the motion of ballistic electrons in a miniband of a semiconductor superlattice (SSL) under the influence of an external, time-periodic electric field. We use the semi-classical balance-equation approach which incorporates…

We investigate the dynamic behavior of lattices with disorder introduced through non-local network connections. Inspired by the Watts-Strogatz small-world model, we employ a single parameter to determine the probability of local connections…

Applied Physics · Physics 2022-07-27 Matheus I. N. Rosa , Massimo Ruzzene

We study the dynamical spin susceptibility of a correlated d-wave superconductor (dSC) in the presence of disorder, using an unrestricted Hartree-Fock approach. This model provides a concrete realization of the notion that disorder slows…

Superconductivity · Physics 2010-10-01 Brian M. Andersen , Siegfried Graser , P. J. Hirschfeld