Exact envelope solitons in topological Floquet insulators

Author:

Deb Subimal1ORCID,Singh DheerendraORCID,Chakraborty Munmun1,Panigrahi Prasanta K.ORCID,Khare Avinash2

Affiliation:

1. Centre for Development of Advanced Computing (C-DAC)

2. Savitribai Phule Pune University

Abstract

The existence of new types of four-wave mixing Floquet solitons were recently realized numerically through a resonant phase matching in a photonic lattice of type-I Dirac cones; specifically, a honeycomb lattice of helical array waveguides imprinted on a weakly birefringent medium. We present a wide class of exact solutions in this system for the envelope solitons in dark–bright pairs and a “molecular” form of bright–dark combinations. Some of the solutions, red or blue detuned, are mode-locked in their momenta, while the others offer a spectrum of allowed momenta subject to constraints amongst the system and solution parameters. We show that the characteristically different solutions exist at and away from the band edge, with the exact band edge possessing a periodic pair of sinusoidal excitations akin to that of two-level systems apart from localized solitons. These could have possible applications for designing quantum devices.

Funder

Ministry of Electronics and Information technology

Department of Science and Technology, Ministry of Science and Technology, India

Publisher

Optica Publishing Group

Subject

Atomic and Molecular Physics, and Optics

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