# Critical dynamics and tree-like spatiotemporal patterns in exciton-polaritoncondensates

## TL;DR

This paper investigates the complex spatiotemporal patterns in exciton-polariton condensates near instability, revealing tree-like structures and self-replication phenomena similar to reaction-diffusion systems.

## Contribution

It uncovers the emergence of tree-like patterns and self-replication in exciton-polariton systems, linking them to reaction-diffusion dynamics.

## Key findings

- Identification of tree-like spatiotemporal patterns
- Demonstration of self-replication points in the model
- Analogy between polariton dynamics and reaction-diffusion systems

## Abstract

We study nonresonantly pumped exciton-polariton system in the vicinity of the dynamical instability threshold. We find that the system exhibits unique and rich dynamics, which leads to spatiotemporal pattern formation. The patterns have a tree-like structure and are reminiscent of structures that appear in a variety of soft matter systems. Within the approximation of slow and fast time scales, we show that the polariton model exhibits self-replication point in analogy to reaction-diffusion systems.