A Polariton Graph Simulator
New Journal of Physics
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Lagoudakis, P., & Berloff, N. (2017). A Polariton Graph Simulator. New Journal of Physics, 19 (December 2017)https://doi.org/10.1088/1367-2630/aa924b
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 threshold or to study large scale synchronization 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.
This work was carried out in the framework of the joint Russian–Greek project supported by Ministry of Education and Science of The Russian Federation (project RFMEFI61617X0085). The authors acknowledge the support of the Skoltech NGP Program (Skoltech–MIT joint project), and the UK's Engineering and Physical Sciences Research Council (grant EP/M025330/1 on Hybrid Polaritonics).
External DOI: https://doi.org/10.1088/1367-2630/aa924b
This record's URL: https://www.repository.cam.ac.uk/handle/1810/271691
Attribution 4.0 International
Licence URL: http://creativecommons.org/licenses/by/4.0/
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