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Local Shannon entropy lies at the heart of modern thermodynamics, with much discussion of trajectory-dependent entropy production. When taken at both boundaries of a process in phase space, it reproduces the second law of thermodynamics…

Statistical Mechanics · Physics 2015-01-20 Lee Jinwoo , Hajime Tanaka

We study resonant energy transfer in a one-dimensional chain of two to five atoms by analyzing time-dependent probabilities as function of their interatomic distances. The dynamics of the system are first investigated by including the…

Atomic Physics · Physics 2018-09-26 Maninder Kaur , Paramjit Kaur , B. K. Sahoo , Bindiya Arora

A thorough analysis of the transverse current autocorrelation function obtained by molecular dynamics simulations of a dense Lennard-Jones fluid reveals that even such a simple system is characterized by a varied dynamical behavior with…

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

We conduct a numerical investigation into wave propagation and localization in one-dimensional lattices subject to nonlinear disorder, focusing on cases with fixed input conditions. Utilizing a discrete nonlinear Schr\"odinger equation with…

Disordered Systems and Neural Networks · Physics 2024-08-30 Ba Phi Nguyen , Kihong Kim

The phenomenon of dynamical localization of matter wave solitons in optical lattices is first demonstrated and the conditions for its existence are discussed. In addition to the trapping linear periodic potential we use a periodic…

Other Condensed Matter · Physics 2009-12-23 Yu. V. Bludov , V. V. Konotop , M. Salerno

We study the response of an infinite, asymptotically static N=4 plasma to a generic localized source in the probe approximation. At large distances, the energy momentum tensor of the plasma includes a term which satisfies the constitutive…

High Energy Physics - Theory · Physics 2009-12-15 Steven S. Gubser , Amos Yarom

We develop an analytical theory of the localization-delocalization transition for a disordered Bose system, focusing on a Cooper-pair insulator. We consider a chain of small superconducting granules coupled via Josephson links and show that…

Mesoscale and Nanoscale Physics · Physics 2011-10-28 N. M. Chtchelkatchev , A. Petkovic , A. Glatz , T. I. Baturina , V. M. Vinokur

We present a microscopic theory of nonlinear damping and dephasing of low-frequency eigenmodes in nano- and micro-mechanical systems. The mechanism of the both effects is scattering of thermally excited vibrational modes off the considered…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 J. Atalaya , T. W. Kenny , M. L. Roukes , M. I. Dykman

We consider motion of an overdamped Brownian particle subject to stochastic resetting in one dimension. In contrast to the usual setting where the particle is instantaneously reset to a preferred location (say, the origin), here we consider…

Statistical Mechanics · Physics 2021-05-26 Deepak Gupta , Arnab Pal , Anupam Kundu

A bent chain of coupled Morse oscillators with long-range dispersive interaction is considered. Moving localized excitations may be trapped in the bending region. Thus chain geometry acts like an impurity. An energy funneling effect is…

Pattern Formation and Solitons · Physics 2007-05-23 P. V. Larsen , P. L. Christiansen , O. Bang , J. F. R. Archilla , Yu. B. Gaididei

Linear response spectra of a driven intrinsic localized mode in a micromechanical array are measured as it approaches two fundamentally different kinds of bifurcation points. A linear phase mode associated with this autoresonant state…

Pattern Formation and Solitons · Physics 2015-06-03 M. Sato , S. Imai , N. Fujita , S. Nishimura , Y. Takao , Y. Sada , B. E. Hubbard , B. Ilic , A. J. Sievers

We study energy relaxation in thermalized one-dimensional nonlinear arrays of the Fermi-Pasta-Ulam type. The ends of the thermalized systems are placed in contact with a zero-temperature reservoir via damping forces. Harmonic arrays relax…

Statistical Mechanics · Physics 2009-11-07 R. Reigada , A. Sarmiento , Katja Lindenberg

We consider a system of two linear and linearly coupled oscillators with ideal impact constraints. Primary resonant energy exchange is investigated by analysis of the slow-flow using the action-angle (AA) formalism. Exact inversion of the…

Chaotic Dynamics · Physics 2018-08-15 Nathan Perchikov , O. V. Gendelman

We study Anderson localization of ultracold atoms in weak, one-dimensional speckle potentials, using perturbation theory beyond Born approximation. We show the existence of a series of sharp crossovers (effective mobility edges) between…

We explore excitation transport within a one-dimensional chain of atoms where the atomic transition dipoles are coupled to the free radiation field. When the atoms are separated by distances smaller or comparable to the wavelength of the…

Quantum Physics · Physics 2019-09-04 Jemma A. Needham , Igor Lesanovsky , Beatriz Olmos

We show for the first time that highly localized in-plane breathers can propagate in specific directions with minimal lateral spreading in a model 2-D hexagonal non-linear lattice. The lattice is subject to an on-site potential in addition…

patt-sol · Physics 2016-08-15 J. L. Marín , J. C. Eilbeck , F. M. Russell

We consider the effect of a local perturbation on the energy levels of a system described by random matrix theory. An analytic expression for the joint distribution function of initial and final energy levels is obtained. In the case of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 I. L. Aleiner , K. A. Matveev

I unveil a novel variant of Anderson localization. This emergent phenomenon pertains to the motion of a dopant in a thermal spin lattice, rendered localized by thermal fluctuations. This is in stark contrast to the intrinsic origin of…

Strongly Correlated Electrons · Physics 2024-06-26 K. Knakkergaard Nielsen

The electronic and structural properties of atomically thin materials can be controllably tuned by assembling them with an interlayer twist. During this process, constituent layers spontaneously rearrange themselves in search of a lowest…