Interaction between an impurity and nonlinear excitations in a polariton condensate

TL;DR

This paper theoretically studies how a finite-mass impurity interacts with nonlinear excitations, specifically dissipative solitons, in a polariton Bose-Einstein condensate, revealing different collision outcomes and potential applications.

Contribution

It introduces an analytical framework for impurity-soliton interactions considering finite impurity mass in polariton BECs, expanding understanding of impurity dynamics.

Findings

Impurity can transmit, trap, or reflect dissipative solitons depending on parameters.

Analytical phase diagram of impurity-soliton interactions.

Potential applications in polariton-based information processing.

Abstract

Exploring the dynamics of a mobile impurity immersed in the field excitations is challenging, as it requires to account for the entanglement between the impurity and the surrounding excitations. To this end, the impurity's effective mass has to be considered as finite, rather than infinite. Here, we theoretically investigate the interaction between a finite-mass impurity and a dissipative soliton representing nonlinear excitations in the polariton Bose-Einstein condensate (BEC). Using the Lagrange variational method and the open-dissipative Gross-Pitaevskii equation, we analytically derive the interaction phase diagram between the impurity and a dissipative bright soliton in the polariton BEC. Depending on the impurity mass, we find the dissipative soliton colliding with the impurity can transmit through, get trapped, or be reflected. This work opens a new perspective in understanding the impurity dynamics immersed in the field excitations, as well as potential applications in information processing with polariton solitons.