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Particles occupying sites of a random lattice present density fluctuations at all length scales. It has been proposed that increasing interparticle interactions reduces long range density fluctuations, deviating from random behaviour. This…

We show, through analytical theory and rigorous numerical calculations, that optical binding can organize a collection of particles into stable one-dimensional lattice. This lattice, as well as other optically-bound structures, are shown to…

Other Condensed Matter · Physics 2009-11-11 Jack Ng , C. T. Chan

We analyze the impact of loss in lattices of coupled optical waveguides and find that in such case, the hopping between adjacent waveguides is necessarily complex. This results not only in a transition of the light spreading from ballistic…

The topological nature of the disorder of glasses and supercooled liquids strongly affects their high-frequency dynamics. In order to understand its main features, we analytically studied a simple topologically disordered model, where the…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

The interaction Hamiltonian for a system of polarons a la Feynman in the presence of long range Coulomb interaction is derived and the dielectric function is computed in mean field. For large enough concentration a liquid of such particles…

Strongly Correlated Electrons · Physics 2015-06-25 J. Lorenzana

We study periodic lattices, such as vortex lattices, driven by an external force in a random pinning potential. We show that effects of static disorder persist even at large velocity. It results in a novel moving glass state with…

Condensed Matter · Physics 2009-10-28 Thierry Giamarchi , Pierre Le Doussal

A highly degenerate family of states [proposed in PRB 63, 134503 (2001)] is proven to really minimize the Hamiltonian of the fully frustrated XY model on a dice lattice. The harmonic fluctuations are shown to be no consequence for the…

Superconductivity · Physics 2009-11-10 S. E. Korshunov

The phase ordering dynamics of coupled chaotic bistable maps on lattices with defects is investigated. The statistical properties of the system are characterized by means of the average normalized size of spatial domains of equivalent spin…

Disordered Systems and Neural Networks · Physics 2009-11-11 C. Echeverria , K. Tucci , M. G. Cosenza

We study two coupled 3D lattices, one of them featuring uncorrelated on-site disorder and the other one being fully ordered, and analyze how the interlattice hopping affects the localization-delocalization transition of the former and how…

Disordered Systems and Neural Networks · Physics 2020-04-20 Andre M. C. Souza , Guilherme M. A. Almeida , Eduardo R. Mucciolo

We investigate the effect of random defect scattering on the orbital Hall effect by solving a quantum Boltzmann equation. Depending on the specific orbital textures, diffuse scattering by an \emph{arbitrarily} weak disorder can affect and…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Ping Tang , Gerrit E. W. Bauer

Combining experiments and theory, we address the dynamics of self-propelled particles in crowded environments. We first demonstrate that motile colloids cruising at constant speed through random lattices undergo a smooth transition from…

Soft Condensed Matter · Physics 2017-11-01 Alexandre Morin , David Lopes Cardozo , Vijayakumar Chikkadi , Denis Bartolo

We study a two-dimensional tight-binding lattice for excitons with on-site disorder, coupled to a thermal environment at infinite temperature. The disorder acts to localise an exciton spatially, while the environment generates dynamics…

Statistical Mechanics · Physics 2014-04-23 Sam Genway , Igor Lesanovsky , Juan P. Garrahan

The motion of a dark soliton is investigated in a one-dimensional dilute Bose-Einstein condensate confined in a harmonic trap and an optical lattice. The harmonic trap induces a dynamical instability of the soliton, culminating in sound…

Condensed Matter · Physics 2009-11-10 N. G. Parker , N. P. Proukakis , C. F. Barenghi , C. S. Adams

Normal modes provide a fundamental basis for understanding crucial properties of solids, such as the thermal conductivity, the heat capacity and the sound propagation. While the normal modes are excellently described by plane waves in…

Soft Condensed Matter · Physics 2011-04-04 Peng Tan , Ning Xu , A. B. Schofield , Lei Xu

We experimentally investigate the dynamics of synthetic active particles composed of gravitationally bouncing, superwalking droplets confined within an annular fluid bath. Driven by a topologically pumping dual-frequency waveform, the…

Fluid Dynamics · Physics 2025-12-19 Rudra Sekhri , Rahil N. Valani , Tapio Simula

Double-well optical lattice in an insulating state is considered. The influence of atomic vibrations and mesoscopic disorder on the properties of the lattice are studied. Vibrations lead to the renormalization of atomic interactions. The…

Disordered Systems and Neural Networks · Physics 2015-06-05 V. I. Yukalov , E. P. Yukalova

We study the pattern formation in a lattice of coupled phase oscillators with quenched disorder. In the synchronized regime concentric waves can arise, which are induced and increase in regularity by the disorder of the system. Maximal…

Disordered Systems and Neural Networks · Physics 2009-11-11 Bernd Blasius , Ralf Toenjes

We investigate a Bose-Einstein condensate trapped in a 2D optical lattice in the presence of weak disorder within the framework of the Bogoliubov theory. In particular, we analyze the combined effects of disorder and an optical lattice on…

Quantum Gases · Physics 2015-05-14 Ying Hu , Zhaoxin Liang , Bambi Hu

We demonstrate that a weak disorder in atomic positions introduces spatially localized optical modes in a dense three-dimensional ensemble of immobile two-level atoms arranged in a diamond lattice and coupled by the electromagnetic field.…

Disordered Systems and Neural Networks · Physics 2020-10-21 S. E. Skipetrov

We study periodic lattices, such as vortex lattices in type II superconductors in a random pinning potential. For the static case we review the prediction that the phase diagram of such systems consists of a topologically ordered Bragg…

Superconductivity · Physics 2016-08-31 T. Giamarchi , P. Le Doussal
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