Phys. Rev. Lett. 117, 014101 (2016) - Symmetric Potential Lattice and Smooth Propagation of Tail-Free Discrete Breathers

Symmetric Potential Lattice and Smooth Propagation of Tail-Free Discrete Breathers

Yusuke Doi and Kazuyuki Yoshimura

Phys. Rev. Lett. 117, 014101 – Published 30 June 2016

Abstract

We present a particular type of one-dimensional nonlinear lattice that supports smoothly propagating discrete breathers. The lattice is constructed by imposing a particular symmetry on its potential function. This symmetry crucially affects the profile and motion of a traveling discrete breather. We show that any traveling discrete breather is truly localized with no tail and can smoothly propagate with a constant velocity. Theoretical analysis using an average Lagrangian explains this numerical observation.

Received 15 October 2015

DOI:https://doi.org/10.1103/PhysRevLett.117.014101

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Cold gases in optical lattices Lattices in beam optics

Atomic, Molecular & Optical

Authors & Affiliations

Department of Adaptive Machine Systems, Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan

Kazuyuki Yoshimura

NTT Communication Science Laboratories, NTT Corporation 3-1 Morinosato, Wakamiya, Atsugi, Kanagawa 243-0198, Japan

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Issue

Vol. 117, Iss. 1 — 1 July 2016

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