Collective excitation profiles and the dynamics of photonic condensates

TL;DR

This paper introduces a hierarchical method to efficiently simulate photonic condensates by constructing molecular excitation profiles, providing both computational advantages and physical insights into mode competition.

Contribution

A systematic hierarchical construction of molecular excitation profiles that simplifies simulations and enhances understanding of mode competition in photonic condensates.

Findings

Hierarchical profiles enable faster simulations.

Explicit mode shapes clarify mode competition.

Method improves physical insight into condensate dynamics.

Abstract

Photonic condensates are complex systems exhibiting phase transitions due to the interaction with their molecular environment. Given the macroscopic number of molecules that form a reservoir of excitations, numerical simulations are expensive, even for systems with few cavity modes. We present a systematic construction of molecular excitation profiles with a clear hierarchical ordering, such that only modes in the lowest order in the hierarchy directly affect the cavity photon dynamics. In addition to a substantial gain in computational efficiency for simulations of photon dynamics, the explicit spatial shape of the mode profiles offers a clear physical insight into the competition among the cavity modes for access to molecular excitations.