Landau-Zener tunneling of solitons

Vazha Loladze and Ramaz Khomeriki
Phys. Rev. E 95, 042204 – Published 12 April 2017

Abstract

We consider Landau-Zener tunneling of solitons in a weakly coupled two-channel system, for this purpose we construct a simple mechanical system using two weakly coupled chains of nonlinear oscillators with gradually decreasing (first chain) and increasing (second chain) masses. The model allows us to consider soliton propagation and Landau-Zener tunneling between the chains. It is shown that soliton tunneling characteristics become drastically dependent on its amplitude in nonlinear regime. The validity of the developed tunneling theory is justified via comparison with direct numerical simulations on oscillator ladder system.

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  • Received 15 July 2016

DOI:https://doi.org/10.1103/PhysRevE.95.042204

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

Vazha Loladze and Ramaz Khomeriki

  • Physics Department, Tbilisi State University, Chavchavadze 3, 0128 Tbilisi, Georgia

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Issue

Vol. 95, Iss. 4 — April 2017

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