Observations of 't Hooft's sublattices and Dirac's monopole by inhomogeneous phases of solitons

TL;DR

This paper experimentally explores photonic graphene with inhomogeneous soliton lattices, revealing monopole interactions, defect transformations, and analogues of topological structures, connecting optical phenomena with concepts like supersymmetry and quantum phase transitions.

Contribution

It introduces a novel experimental setup generating photonic graphene with inhomogeneous solitons, demonstrating monopole interactions and topological analogues in optical systems.

Findings

Observation of monopole-like behavior in soliton lattices

Transformation of defect monopoles into flux-like tubes

Persistence of Bogomolny's vortex symmetry

Abstract

Here, we experimentally generated photonic graphene by resonance of inhomogeneously strained one dimensional lattices of triangular solitons. Where mildly twisted solitons are considered as north and south monopoles, while strongly twisted solitons are considered as defect north monopoles. Weak bounding is observed between the opposite monopoles. Strong bounding occurred between the monopoles with same polarity. Where a defect north monopole is transformed into a flux-like tube. Which generated an optical analogue of the torus sublattice. Bogomolny's vortice-like symmetry is remained intact in all these observations. Dirac's north monopole along with the string is also observed. The results presented in this paper were also described in terms of supersymmetry and quantum phase transitions, and reported in ref[20].