Adiabatic theory of one-dimensional curved polariton waveguides

TL;DR

This paper develops a comprehensive adiabatic theory for spinor exciton-polaritons in arbitrarily shaped waveguides, revealing how curvature and magnetic effects influence band structures and enable stable gap solitons.

Contribution

It introduces a general adiabatic framework for curved polariton waveguides, incorporating TE-TM and Zeeman effects, and demonstrates the formation of tunable band gaps and stable solitons.

Findings

Periodic curvature induces nontrivial band-gap structures.

External magnetic fields can tune the band gaps.

Spin interactions lead to stable gap solitons.

Abstract

We construct a general theory of adiabatic propagation of spinor exciton-polaritons in waveguides of arbitrary shape, accounting for the effects of TE-TM splitting in linear polarizations and Zeeman splitting in circular polarizations. The developed theory is applied for the description of waveguides of periodically curved shape. We show that in this geometry the periodic rotation of the effective in-plane magnetic field produced by TE-TM interaction results in a nontrivial band-gap structure, which can be additionally tuned by application of an external magnetic field. It is also demonstrated, that spin-dependent interactions between polaritons lead to the formation of stable gap solitons.