Aspects of sine-Gordon solitons, defects and gates

TL;DR

This paper explores how sine-Gordon solitons with defects can be used to construct logical gates, leveraging the theory's ability to support discontinuities while maintaining integrability.

Contribution

It introduces the concept of defects in sine-Gordon theory as a means to manipulate solitons for logical gate applications, highlighting a novel intersection of integrability and computation.

Findings

Defects allow discontinuities without destroying integrability.

Soliton number is not conserved in the presence of defects.

Potential application in logical gate construction.

Abstract

It was recently noted how the classical sine-Gordon theory can support discontinuities, or `defects', and yet maintain integrability by preserving sufficiently many conservation laws. Since soliton number is not preserved by a defect, a possible application to the construction of logical gates is suggested.