Numerical modeling of exciton-polariton Bose--Einstein condensate in a microcavity

TL;DR

This paper introduces an optimized numerical method using a modified Runge-Kutta algorithm implemented in C++ for efficient simulation of exciton-polariton Bose-Einstein condensates in microcavities, facilitating advanced theoretical research.

Contribution

The paper presents a novel, optimized numerical approach specifically designed for modeling exciton-polariton superfluids, improving computational efficiency and enabling detailed simulations.

Findings

Efficient simulation of exciton-polariton dynamics achieved.

The EPCGP suite facilitates complex theoretical investigations.

Parallelized C++ implementation enhances computational performance.

Abstract

A novel, optimized numerical method of modeling of an exciton-polariton superfluid in a semiconductor microcavity was proposed. Exciton-polaritons are spin-carrying quasiparticles formed from photons strongly coupled to excitons. They possess unique properties, interesting from the point of view of fundamental research as well as numerous potential applications. However, their numerical modeling is challenging due to the structure of nonlinear differential equations describing their evolution. In this paper, we propose to solve the equations with a modified Runge--Kutta method of 4th order, further optimized for efficient computations. The algorithms were implemented in form of C++ programs fitted for parallel environments and utilizing vector instructions. The programs form the EPCGP suite which have been used for theoretical investigation of exciton-polaritons.