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We reveal the generic characteristics of wave packet delocalization in two-dimensional nonlinear disordered lattices by performing extensive numerical simulations in two basic disordered models: the Klein-Gordon system and the discrete…

Disordered Systems and Neural Networks · Physics 2020-03-18 Bertin Many Manda , Bob Senyange , Charalampos Skokos

We provide a detailed quantum treatment of the spectral characteristics and of the dynamics of nondispersive two-electron wave packets along the periodically driven, collinear frozen planet configuration of helium. These highly correlated,…

Atomic Physics · Physics 2009-11-07 Peter Schlagheck , Andreas Buchleitner

Artificial crystals such as moir\'e superlattices can have a real-space periodicity much larger than the underlying atomic scale. This facilitates the presence of Bloch oscillations in the presence of a static electric field. We demonstrate…

Mesoscale and Nanoscale Physics · Physics 2023-11-23 Christophe De Beule , E. J. Mele

We study the spatio-temporal evolution of wave packets in one-dimensional quasiperiodic lattices which localize linear waves. Nonlinearity (related to two-body interactions) has destructive effect on localization, as recently observed for…

Disordered Systems and Neural Networks · Physics 2015-02-26 Marco Larcher , Tetyana V. Laptyeva , Joshua D. Bodyfelt , Franco Dalfovo , Michele Modugno , Sergej Flach

A new kinetic instability which results in formation of charge density waves is proposed. The instability is of a purely classical nature. A spatial period of arising space-charge and field configuration is inversely proportional to…

Soft Condensed Matter · Physics 2009-11-07 V. Yu. Kachorovskii , I. S. Lioublinskii , L. D. Tsendin

In the present work we deal with the dynamics of wave packets in a two-dimensional crystal under the action of magnetic and electric fields. The magnetic field is perpendicular to the plane and the electric field is on the plane. In the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. N. Nazareno , P. E. de Brito , E. S. Rodrigues

We study transport properties of a two-dimensional electron gas, placed in a classically strong perpendicular magnetic field and in constant and oscillating in-plane electric fields. The analysis is based on a quantum Boltzmann equation…

Mesoscale and Nanoscale Physics · Physics 2009-01-09 M. Khodas , M. G. Vavilov

We study the energy spectrum and electronic properties of two-dimensional electron gas in a periodic magnetic field of zero average with a symmetry of triangular lattice. We demonstrate how the structure of electron energy bands can be…

Strongly Correlated Electrons · Physics 2008-11-14 Mathieu Taillefumier , Vitalii Dugaev , Benjamin Canals , Claudine Lacroix , Patrick Bruno

We analyze the large-scale dynamics of vortex lattices and charge density waves driven in a disordered potential. Using a perturbative coarse-graining procedure we present an explicit derivation of non-equilibrium terms in the renormalized…

Statistical Mechanics · Physics 2009-10-30 Stefan Scheidl , Valerii M. Vinokur

Discrete nonlinear systems support a rich variety of localized and extended wave phenomena, with their dynamics sensitively dependent on the symmetries of the underlying interaction forces within the lattice. Odd elasticity, emerging in…

Pattern Formation and Solitons · Physics 2026-05-20 Andrus Giraldo , Stefan Ruschel , Behrooz Yousefzadeh

We derive the semiclassical Bloch dynamics with the second-order Berry phase correction in the presence of the slow-varying scalar potential as perturbation. Our mathematical derivation is based on a two-scale WKB asymptotic analysis. For a…

Analysis of PDEs · Mathematics 2020-04-15 Jianfeng Lu , Zihang Zhang , Zhennan Zhou

Quantum decay in an ac driven biased periodic potential modeling cold atoms in optical lattices is studied for a symmetry broken driving. For the case of fully chaotic classical dynamics the classical exponential decay is quantum…

Quantum Physics · Physics 2009-11-11 S. Mossmann , C. Schumann , H. J. Korsch

We study the evolution of a wave packet in a nonlinear Schr\"odinger lattice equation subject to a dc bias. In the absence of nonlinearity all normal modes are spatially localized giving rise to a Stark ladder with an equidistant eigenvalue…

Statistical Mechanics · Physics 2010-01-29 Dmitry O. Krimer , Ramaz Khomeriki , Sergej Flach

The time evolution of wavepackets in crystals in the presence of a homogeneous electric field is formulated in k-space in a numerically tractable form. The dynamics is governed by separate equations for the motion of the waveform in k-space…

Materials Science · Physics 2009-11-13 J. M. Pruneda , Ivo Souza

We examine the properties of linear electrostatic waves in unmagnetized quantum and classical plasmas consisting of one or two populations of electrons with analytically tractable distribution functions in the presence of a stationary…

Plasma Physics · Physics 2018-09-12 Shane Rightley , Dmitri Uzdensky

The dynamic localization of a two-level atom in a periodic potential under the action of spin-orbit coupling and a weak harmonically-varying linear force is studied. We consider optical and Zeeman potentials that are either in-phase or…

Quantum Gases · Physics 2016-12-09 Yaroslav V. Kartashov , Vladimir V. Konotop , Dmitry A. Zezyulin , Lluis Torner

The bulk conductivity of a two-dimensional system is studied assuming that quantum interference effects break time-reversal symmetry in the presence of strong spin-orbit interaction and strong lattice potential. The study is carried out by…

Quantum Physics · Physics 2021-07-01 Kevin Jimenez , Jose Reslen

We consider one-dimensional asymmetric exclusion processes with a simple attractive interaction, where the distance between consecutive particles is not allowed to exceed a certain limit and investigate the consequences of this coupling on…

Disordered Systems and Neural Networks · Physics 2009-11-13 Róbert Juhász

On periodic structures, a bound state in the continuum (BIC) is a standing or propagating Bloch wave with a frequency in the radiation continuum. Some BICs (e.g., antisymmetric standing waves) are symmetry-protected, since they have…

Optics · Physics 2018-04-23 Lijun Yuan , Ya Yan Lu

We describe the dynamic response of a two-dimensional hexagonal packing of uncompressed stainless steel spheres excited by localized impulsive loadings. After the initial impact strikes the system, a characteristic wave structure emerges…

Pattern Formation and Solitons · Physics 2013-05-02 A. Leonard , C. Chong , P. G. Kevrekidis , C. Daraio