Coupled spatial multi-mode solitons in microcavity wires
G. Slavcheva, A. V. Gorbach, A. Pimenov

TL;DR
This paper develops a modal expansion approach to analyze coupled multi-mode polariton solitons in microcavity wires, revealing stable and unstable branches and matching full 2D model predictions.
Contribution
Introduces a simplified 1D modal expansion model that accurately predicts multistability and soliton formation in microcavity wires, aligning with full 2D simulations.
Findings
Identifies stable and unstable coupled soliton branches.
Demonstrates multistability in polariton solitons.
Shows good agreement between 1D and 2D models.
Abstract
A modal expansion approach is developed and employed to investigate and elucidate the nonlinear mechanism behind the multistability and formation of coupled multi-mode polariton solitons in microcavity wires. With pump switched on and realistic dissipation parameters, truncating the expansion up to the second-order wire mode, our model predicts two distinct coupled soliton branches: stable and ustable. Modulational stability of the homogeneous solution and soliton branches stability are studied. Our simplified 1D model is in remarkably good agreement with the full 2D mean-field Gross-Pitaevskii model, reproducing correctly the soliton existence domain upon variation of pump amplitude and the onset of multistability.
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