A Spontaneous Symmetry Breaking Machine -- A Theory for a Novel Type of Spontaneous Symmetry Breaking in a Unique Dissipative System and one Application

TL;DR

This paper introduces a novel dissipative photonics system exhibiting spontaneous symmetry breaking (SSB), demonstrating its experimental realization and potential for complex computations via a duality with many-body systems and the Ising model.

Contribution

It presents a new theoretical and experimental framework for a unique type of SSB in dissipative systems and proposes their application in solving combinatorial optimization problems.

Findings

Experimental demonstration of SSB in a photonics system

Theoretical modeling of complex SSB through coupled dissipative systems

Potential application as an alternative computational resource for optimization

Abstract

We focus on an interesting dissipative system found in a photonics system. In this dissipative system, we theoretically identified that robust causality is generated and as a result, it becomes possible to produce behavior that can be understood as SSB, and, we experimentally demonstrated this finding. Furthermore, we theoretically demonstrated that by combining such dissipative systems as fundamental elements and establishing a certain relationship between them through optical interference, it is possible to create a unique system that generates complex SSB as a whole. This unique SSB can be understood as having a duality with the model of the creation of many-body-like system (MBLS), and by using the correspondence between the many-body-like system and the Ising model, it holds promise as an alternative computational resource for solving combinatorial optimization problems.