Dynamics of two dark solitons in a polariton condensate under non-resonant pumping

TL;DR

This paper provides a theoretical analysis of the dynamics of two dark solitons in a polariton condensate under non-resonant pumping, deriving an effective potential and validating it through numerical simulations.

Contribution

It introduces an analytical expression for the effective potential between two dark solitons in a driven dissipative polariton condensate, and demonstrates how initial velocity influences their motion.

Findings

Analytical effective potential between dark solitons derived.

Numerical simulations confirm analytical predictions.

Initial velocity controls soliton interaction and relaxation.

Abstract

We theoretically investigate the dynamics of two dark solitons in a polariton condensate under nonresonant pumping, based on driven dissipative Gross-Pitaevskii equations coupled to the rate equation. In particular, the analytical expression of the effective potential between two dark solitons is given. The resulting equation of motion captures how the open-dissipative character of a polariton Bose-Einstein condensate affects the properties of dynamics of two-dark soliton, i.e., two-dark soliton relax by blending with the background at a finite time. We further simulate the relative motion of two dark solitons numerically with the emphasis on how two solitons' motion being manipulated the initial velocity, which are in excellent agreement with the analytical results. The prediction of this work is sufficient for the experimental observations within current facilities.