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arXiv · 1709.05498

A Polariton Graph Simulator

Pavlos G. Lagoudakis·Natalia G. Berloff
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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.

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Pavlos G. Lagoudakis, Natalia G. Berloff. 2017-09-16. A Polariton Graph Simulator. https://doi.org/10.1088/1367-2630%2Faa924b

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