Nonlinear dynamics of an integrable gauge-coupled exciton-phonon system on a regular one-dimensional lattice

A one-dimensional nonlinear dynamical system of intra-site excitations and lattice vibrations coupled via gauge-like mechanism is studied. The system admits the semi-discrete zero-curvature representation and therefore it proves to be integrable in the Lax sense. Relaying upon an appropriately devel...

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Bibliographic Details
Published in:Low temperature physics (Woodbury, N.Y.) N.Y.), 2022-03, Vol.48 (3), p.239-245
Main Author: Vakhnenko, Oleksiy O.
Format: Article
Language:English
Subjects:
Dipoles
Dynamical systems
Exact solutions
Excitation
Excitons
Lattice vibration
Nonlinear dynamics
Spatial distribution
Subsystems
Traveling waves
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Summary:A one-dimensional nonlinear dynamical system of intra-site excitations and lattice vibrations coupled via gauge-like mechanism is studied. The system admits the semi-discrete zero-curvature representation and therefore it proves to be integrable in the Lax sense. Relaying upon an appropriately developed Darboux–Bäcklund dressing technique the explicit four-component analytical solution to the system is found and analyzed in details. Due to mutual influence between the interacting subsystems the physically meaningful solution arises as the essentially nonlinear superposition of two principally distinct types of traveling waves. The interplay between the two typical spatial scales relevant to these traveling waves causes the criticality of system’s dynamics manifested as the dipole-monopole transition in the spatial distribution of intra-site excitations.
ISSN:1063-777X
1090-6517
DOI:10.1063/10.0009543