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We discuss stationary aspects of a set of driven lattice gases in which hard-core particles with spatial extent, covering more than one lattice site, diffuse and reconstruct in one dimension under nearest-neighbor interactions. As in the…

Statistical Mechanics · Physics 2011-12-30 M. D. Grynberg

When random walks on a square lattice are biased horizontally to move solely to the right, the probability distribution of their algebraic area can be exactly obtained. We explicitly map this biased classical random system on a non…

Statistical Mechanics · Physics 2015-06-17 Sergey Matveenko , Stephane Ouvry

We study a model in which a Hubbard Hamiltonian is coupled to the dispersive phonons in a classical nonlinear lattice. Our calculations are restricted to the case where we have only two quasi-particles of opposite spins, and we investigate…

Superconductivity · Physics 2007-05-23 L. Cruzeiro-Hansson , J. C. Eilbeck , J. L. Marin , F. M. Russell

We introduce a lattice model for a classical doped two dimensional antiferromagnet which has no quenched disorder, yet displays slow dynamics similar to those observed in supercooled liquids. We calculate two-time spatial and spin…

Disordered Systems and Neural Networks · Physics 2009-11-10 Malcolm P. Kennett , Claudio Chamon , Leticia F. Cugliandolo

We introduce a stochastic lattice gas model including two particle species and two parallel lanes. One lane with exclusion interaction and directed motion and the other lane without exclusion and unbiased diffusion, mimicking a micotubule…

Statistical Mechanics · Physics 2009-11-13 M. Ebbinghaus , L. Santen

In this paper we study the realization of lattice models in mixtures of atomic and dipolar molecular quantum gases. We consider a situation where polar molecules form a self-assembled dipolar lattice, in which atoms or molecules of a second…

Other Condensed Matter · Physics 2015-05-13 M. Ortner , A. Micheli , G. Pupillo , P. Zoller

The lattice dynamics of coesite has been studied by a combination of diffuse x-ray scattering, inelastic x-ray scattering and an ab initio lattice dynamics calculation. The combined technique gives access to the full lattice dynamics in…

We describe, for the first time, the full 2D scattering of long-lived breathers in a model hexagonal lattice of atoms. The chosen system, representing an idealized model of mica, combines a Lennard-Jones interatomic potential with an…

Pattern Formation and Solitons · Physics 2021-02-22 J. Bajars , J. C. Eilbeck , B. Leimkuhler

Recent experiments show that periodic modulations of cold atoms in optical lattices may be used to engineer and explore interesting models. We show that double modulation, combining lattice shaking and modulated interactions allows for the…

Quantum Gases · Physics 2014-11-05 Sebastian Greschner , Luis Santos , Dario Poletti

We numerically investigate slow dynamics of a binary mixture of ultrasoft particles interacting with the generalized Hertzian potential. If the softness parameter, $\alpha$, is small, the particles at high densities start penetrating each…

Soft Condensed Matter · Physics 2019-03-27 Ryoji Miyazaki , Takeshi Kawasaki , Kunimasa Miyazaki

We investigate the high-temperature dynamical conductivity $\sigma(\omega)$ in two one-dimensional integrable quantum lattice models: the anisotropic XXZ spin chain and the Hubbard chain. The emphasis is on the metallic regime of both…

Strongly Correlated Electrons · Physics 2021-09-29 P. Prelovšek , M. Mierzejewski , J. Herbrych

Recent advances in transport properties measurements of disordered materials and lattice simulations, using superconducting qubits, have rekindled interest in Anderson localization, motivating our study of highly disordered quantum…

Quantum Physics · Physics 2024-06-03 Ilia Tutunnikov , Jianshu Cao

The nonlinear aspects of longitudinal motion of interacting point masses in a lattice are revisited, with emphasis on the paradigm of charged dust grains in a dusty plasma (DP) crystal. Different types of localized excitations, predicted by…

Soft Condensed Matter · Physics 2009-11-10 I. Kourakis , P. K. Shukla

A quantum dimer model (QDM) on the kagome lattice with an extensive ground-state entropy was recently introduced [Phys. Rev. B 67, 214413 (2003)]. The ground-state energy of this QDM in presence of one and two static holes is investigated…

Strongly Correlated Electrons · Physics 2007-05-23 Gregoire Misguich , Didina Serban , Vincent Pasquier

Using simulations and a simple mean-field theory, we investigate jamming transitions in a two-species lattice gas under non-equilibrium steady-state conditions. The two types of particles diffuse with different mobilities on a square…

Statistical Mechanics · Physics 2009-11-10 R. S. Hipolito , R. K. P. Zia , B. Schmittmann

Quantum cluster theories are a set of approaches for the theory of correlated and disordered lattice systems, which treat correlations within the cluster explicitly, and correlations at longer length scales either perturbatively or within a…

Superconductivity · Physics 2009-11-11 T. A. Maier , M. S. Jarrell , D. J. Scalapino

We present the experimental detection of coherent three-body interactions, often masked by stronger two-body effects, through nonequilibrium spin dynamics induced by controllably quenching lattice-confined spinor gases. Three-body…

Quantum Gases · Physics 2026-04-07 C. Binegar , J. O. Austin-Harris , S. E. Begg , P. Sigdel , T. Bilitewski , Y. Liu

We consider the quantum centipede made of $N$ fermionic quantum walkers on the one-dimensional lattice interacting by means of the simplest of all hard-bound constraints: the distance between two consecutive fermions is either one or two…

Statistical Mechanics · Physics 2016-07-11 P. L. Krapivsky , J. M. Luck , K. Mallick

The motion of dopants in magnetic spin lattices has received tremendous attention for at least four decades due to its connection to high-temperature superconductivity. Despite these efforts, we lack a complete understanding of their…

Quantum Gases · Physics 2025-10-22 Mingru Yang , Sajant Anand , Kristian Knakkergaard Nielsen

We study a spin-1/2-particle moving on a one dimensional lattice subject to disorder induced by a random, space-dependent quantum coin. The discrete time evolution is given by a family of random unitary quantum walk operators, where the…

Quantum Physics · Physics 2015-05-27 Andre Ahlbrecht , Volkher B. Scholz , Albert H. Werner