A Polariton Graph Simulator
Abstract
We discuss polariton graphs as a new platform for simulating the classical XY and Kuramoto models. Polariton condensates can be imprinted into any two-dimensional graph by spatial modulation of the pumping laser. Polariton simulators have the potential to reach the global minimum of the XY Hamiltonian in a bottom-up approach by gradually increasing excitation density to the threshold or to study large-scale synchronisation phenomena and dynamical phase transitions when operating above the threshold. We consider the modelling of polariton graphs using the complex Ginzburg-Landau model and derive analytical solutions for a single condensate, the XY model, two-mode model and the Kuramoto model establishing the relationships between them.
Keywords
Cite
@article{arxiv.1709.05498,
title = {A Polariton Graph Simulator},
author = {Pavlos G. Lagoudakis and Natalia G. Berloff},
journal= {arXiv preprint arXiv:1709.05498},
year = {2018}
}
Comments
Special Issue Article submitted to New Journal of Physics