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Related papers: Cooling nonlinear lattices toward localisation

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Stress relaxation in crystalline solids is mediated by the formation and diffusion of defects. While it is well established how externally-generated stresses relax, through the proliferation and motion of dislocations in the lattice, it…

Soft Condensed Matter · Physics 2015-06-17 B. van der Meer , W. Qi , R. Fokkink , J. van der Gucht , M. Dijkstra , J. Sprakel

We propose and demonstrate purely optical feedback cooling of neutral nanoparticles in an optical lattice to an occupation number of $0.85\pm0.20$. The cooling force is derived from the optical gradients of displaced optical lattices…

Optics · Physics 2022-07-20 Mitsuyoshi Kamba , Ryoga Shimizu , Kiyotaka Aikawa

We give definitions for different types of moving spatially localized objects in discrete nonlinear lattices. We derive general analytical relations connecting frequency, velocity and localization length of moving discrete breathers and…

Statistical Mechanics · Physics 2009-10-30 S. Flach , K. Kladko

The emergence of localised vibrations in cyclic and symmetric rotating structures, such as bladed disks of aircraft engines, has challenged engineers in the past few decades. In the linear regime, localised states may arise due to a lack of…

Pattern Formation and Solitons · Physics 2018-09-26 Filipe Fontanela , Aurelien Grolet , Loic Salles , Amin Chabchoub , Alan Champneys , Sophoclis Patsias , Norbert Hoffmann

We study the dynamic behavior at high energies of a chain of anharmonic oscillators coupled at its ends to heat baths at possibly different temperatures. In our setup, each oscillator is subject to a homogeneous anharmonic pinning potential…

Mathematical Physics · Physics 2009-03-25 Martin Hairer , Jonathan C. Mattingly

Contrary to a driven classical system that exhibits chaos phenomena and diffusive energy growth, a driven quantum system can exhibit dynamical localization that features energy saturation. However, the evolution of the dynamically localized…

We derive and analyze a novel approach for modeling and computing the mechanical relaxation of incommensurate 2D heterostructures. Our approach parametrizes the relaxation pattern by the compact local configuration space rather than real…

Computational Physics · Physics 2019-09-04 Paul Cazeaux , Mitchell Luskin , Daniel Massatt

Small amplitude oscillations are a commonly observed feature in prominences/filaments. These oscillations appear to be of local nature, are associated to the fine structure of prominence plasmas, and simultaneous flows and counterflows are…

Solar and Stellar Astrophysics · Physics 2015-05-18 I. Arregui , J. L. Ballester

Breathers are spatially localized and time periodic solutions of extended Hamiltonian dynamical systems. In this paper we study excitation thresholds for (nonlinearly dynamically stable) ground state breather or standing wave solutions for…

patt-sol · Physics 2009-10-31 Michael I. Weinstein

Adsorbed gases within, or outside of, carbon nanotubes may be analyzed with an approximate model of adsorption on lattice sites situated on a cylindrical surface. Using this model, the ground state energies of alternative lattice structures…

Soft Condensed Matter · Physics 2016-08-31 M. Mercedes Calbi , Silvina M. Gatica , Mary J. Bojan , Milton W. Cole

It is a fundamental problem to characterize the nonequilibrium processes. For a slowly moving one-dimensional potential, we explore the quasi adiabatic dynamics of the initial energy eigenstates for a confined quantum system interacting…

Statistical Mechanics · Physics 2017-10-11 Takaaki Monnai

We study the ground-state properties and nonequilibrium dynamics of hard-core bosons confined in one-dimensional lattices in the presence of an additional periodic potential (superlattice) and a harmonic trap. The dynamics is analyzed after…

Other Condensed Matter · Physics 2017-09-11 Marcos Rigol , Alejandro Muramatsu , Maxim Olshanii

Nonlinear lattice models can support "discrete breather" excitations that stay localized in space for all time. By contrast, the localized Wannier states of linear lattice models are dynamically unstable. Nevertheless, symmetric and…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Frank Schindler , Vir B. Bulchandani , Wladimir A. Benalcazar

We investigate thermalization in a tight-binding chain with an on-site defect subject to local dephasing noise implemented as random phase kicks. For a single linear defect of strength $\epsilon$, we obtain an exact analytical description…

Statistical Mechanics · Physics 2026-02-27 Debraj Das , Andrea Gambassi , Stefano Iubini , Stefano Lepri

We examine structural relaxation in a supercooled glass-forming liquid simulated by NVE molecular dynamics. Time correlations of the total kinetic energy fluctuations are used as a comprehensive measure of the system's approach to the…

Soft Condensed Matter · Physics 2009-05-20 M. Elenius , M. Dzugutov

Predicting the exact many-body quantum dynamics of polarons in materials with strong carrier-phonon interactions presents a fundamental challenge, often necessitating one to adopt approximations that sacrifice the ability to predict the…

Chemical Physics · Physics 2024-11-27 Srijan Bhattacharyya , Thomas Sayer , Andrés Montoya-Castillo

We theoretically investigate breathing oscillations of weakly-interacting degenerate Fermi gases in highly-anisotropic harmonic oscillator traps. If the traps are not highly anisotropic, the fermions behave as three-dimensional (3D) gases…

Other Condensed Matter · Physics 2012-03-12 Takushi Nishimura , Tomoyuki Maruyama

Motivated by recent advances in the realization of complex two-dimensional optical lattices, we investigate theoretically the quantum transport of ultracold fermions in an optical kagome lattice. In particular, we focus on its extensively…

Quantum Gases · Physics 2014-07-25 Gia-Wei Chern , Chih-Chun Chien , Massimiliano Di Ventra

We study the quench dynamics of the $q$ Potts model on different bi/tri-dimensional lattice topologies. In particular we are interested in instantaneous quenches from $T_i \rightarrow \infty$ to $T \leq T_s$, where $T_s$ is the…

Statistical Mechanics · Physics 2023-03-01 Francesco Chippari , Marco Picco

We study the relaxation process in a simple glass-former - the KA lattice gas model. We show that, for this model, structural relaxation is due to slow percolation of regions of co-operatively moving particles, which leads to heterogeneous…

Statistical Mechanics · Physics 2009-11-13 Pinaki Chaudhuri , Srikanth Sastry , Walter Kob
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