Dark-bright solitons in spinor polariton condensates under nonresonant pumping

TL;DR

This paper investigates the static and dynamic properties of dark-bright solitons in spinor polariton condensates under non-resonant pumping, combining analytical and numerical methods to understand their behavior and lifetime.

Contribution

It derives an analytical equation of motion for dark-bright solitons considering dissipation and spin effects, validated by numerical simulations and noise analysis.

Findings

Analytical model accurately predicts soliton dynamics.

Dark-bright solitons have finite lifetime influenced by dissipation.

Solitons can propagate long enough for experimental observation.

Abstract

Adopting a mean-field Gross-Pitaevskii description for a spinor polariton Bose-Einstein condensates under non-resonant pumping, we investigate the static and dynamical properties of dark-bright solitons. We derive analytically the equation of motion for the center of mass of the dark-bright soliton center, using the Hamiltonian approach. The resulting equation captures how the combination of the open-dissipative character and the spin degrees of freedom of a polariton Bose-Einstein condensate affects the properties of a dark-bright soliton, i.e. the dark-bright soliton relaxes by blending with the background at a finite time. In this case, we also determine the life time of the DB soliton. Further numerical solutions of the modified dissipative two-component Gross-Pitaevskii equations are in excellent agreement with the analytical results. In presence of the Langevin noise, we demonstrate that the DB solitons can still propagate for a long time, which is sufficient for their experimental observations within current facilities.