# Soliton lattices originating from excitons interacting with high-intensity fields in finite molecular crystals

## TL;DR

This paper investigates how long-range intermolecular interactions influence soliton bound states of excitons and polaritons in molecular crystals under high-intensity optical fields, revealing significant amplitude modifications and energy transfer effects.

## Contribution

It provides analytical solutions for soliton structures considering long-range interactions, highlighting their impact on exciton-polariton dynamics in molecular crystals.

## Key findings

- Long-range interactions significantly increase bright soliton amplitudes.
- Dark soliton amplitudes decrease due to long-range interactions.
- Energy transfer along molecular crystals is affected by these interactions.

## Abstract

The effects of long-range intermolecular interactions on characteristic features of soliton bound states, consisting of localized excitons and polaritons in molecular crystals interacting with a high-intensity optical field, are investigated. Analytical solutions to the resulting modified nonlinear Schr\"odinger equation are obtained in terms of elliptic-type bright- and dark-soliton structures, which are assumed to correspond to periodic trains of pulse solitons and kink solitons respectively. Long-range intermolecular interactions are shown to renormalize the exciton-polariton interaction strength, hence generating a significantly huge increase in amplitudes of the bright solitons but a decrease in amplitudes of dark solitons. Results suggest that long-range intermolecular interactions hold relevant roles, both qualitatively and quantitatively, in the formation of amplitude and phase modulated strongly nonlinear exciton-polariton solitary-wave patterns, as well as in the energy transfer along molecular crystals interacting with high-intensity optical fields.