Bloch oscillations of a soliton in a molecular chain

TL;DR

This study uses numerical simulations to explore Bloch oscillations of solitons in deformable molecular chains under electric fields, revealing complex dynamics including oscillations and breather formations.

Contribution

It demonstrates the dynamic regimes of solitons in a deformable chain and identifies a transition to breather states at high electric field intensities.

Findings

Solitons oscillate at sub-critical field strengths.

Above a threshold, solitons become breathers.

Charge motion is unbounded in deformable chains.

Abstract

The paper presents results of numerical experiments simulating Bloch oscillations of solitons in a deformable molecular chain in a constant electric field. By the example of a homogeneous polynucleotide chain it is shown that the system under consideration can demonstrate complicated dynamical regimes when at the field intensities less than a certain critical value, a soliton as a whole exhibits oscillations, while at the field intensities exceeding the threshold, a soliton turns to a breather which oscillates. It is shown that the motion of a charge in a deformable chain is infinite as contrasted to that in a rigid chain.