# Logic gates on stationary dissipative solitons

## TL;DR

This paper demonstrates how stationary dissipative solitons modeled by the complex Ginzburg-Landau equation can be used to implement various logic gates for all-optical information processing, leveraging controllable soliton interactions.

## Contribution

It introduces a method to realize multiple logic gates using stationary dissipative solitons controlled by the complex Ginzburg-Landau model, advancing optical computing capabilities.

## Key findings

- Successful implementation of NOT, AND, NAND, OR, NOR, XOR, XNOR gates
- Use of fundamental and composite solitons as logic levels
- Controlled soliton interactions enable logic operations

## Abstract

Stable dissipative solitons are perfect carries of optical information due to remarkable stability of their waveforms that allows the signal transmission with extremely dense soliton packing without loosing the encoded information. Apart of unaffected passing of solitons through a communication network, controllable transformations of soliton waveforms are needed to perform all-optical information processing. In this paper we employ the basic model of dissipative optical solitons in the form of the complex Ginzburg-Landau equation with a potential term to study the interactions between two stationary dissipative solitons being under the control influences and use those interactions to implement various logic gates. Particularly, we demonstrate NOT, AND, NAND, OR, NOR, XOR, and XNOR gates, where the plain (fundamental soliton) and composite pulses are used to represent the low and high logic levels.