# Dissipative Magnetic Polariton Soliton

## TL;DR

This paper introduces a novel type of dissipative magnetic polariton soliton in a spinor polariton Bose-Einstein condensate, demonstrating its existence as a stable, localized spin polarization arising from double balance mechanisms in open-dissipative quantum systems.

## Contribution

It presents the first theoretical demonstration of a dissipative magnetic soliton arising in a multi-channel driven-dissipative quantum system, expanding the understanding of dissipative solitons beyond conventional single-channel scenarios.

## Key findings

- Existence of a stable dissipative magnetic soliton in a spinor polariton BEC.
- The soliton manifests as a localized spin polarization with a linearly polarized background.
- The soliton does not decay during propagation in the dissipative medium.

## Abstract

Dissipative solitons are non-decaying out-of-equilibrium entities that result from double balances between gain and loss, as well as nonlinearity and dispersion. Here we describe a scenario where double balances rely on the presence of multiple collective excitation channels in open-dissipative quantum systems. It differs from conventional single-channel scenario for well-known dissipative solitons such as dissipative Kerr solitons, in that the soliton itself arises in a decoupled excitation channel and hence coherent nonlinear excitation dynamics, but its background state corresponds to other channels and is determined by the balance of pumping and dissipation. We demonstrate with a spinor polariton Bose-Einstein condensate (BEC) under spatially uniform nonresonant pumping, and show the existence of a dissipative magnetic soliton as an exact solution to two-component driven-dissipative Gross-Pitaevskii equation. This magnetic polariton soliton manifests as a localized spin polarization with the background state being linearly polarized, and does not decay when propagating in the dissipative medium. Our present work offers a new perspective as well as new benchmarks for understanding and realizing dissipative solitons.