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A polariton graph simulator

A polariton graph simulator
A polariton graph simulator


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 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.
1367-2630
Lagoudakis, Pavlos G.
ea50c228-f006-4edf-8459-60015d961bbf
Berloff, Natalia G.
88e2fe88-a0a3-40c4-a62a-ed64a2920212
Lagoudakis, Pavlos G.
ea50c228-f006-4edf-8459-60015d961bbf
Berloff, Natalia G.
88e2fe88-a0a3-40c4-a62a-ed64a2920212

Lagoudakis, Pavlos G. and Berloff, Natalia G. (2017) A polariton graph simulator. New Journal of Physics. (doi:10.1088/1367-2630/aa924b).

Record type: Article

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 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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A polariton graph simulator - Accepted Manuscript
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Accepted/In Press date: 7 May 2017
e-pub ahead of print date: 10 October 2017

Identifiers

Local EPrints ID: 414844
URI: http://eprints.soton.ac.uk/id/eprint/414844
DOI: doi:10.1088/1367-2630/aa924b
ISSN: 1367-2630
PURE UUID: 55e0d21e-1daa-4b92-b7d3-9fd7adf47eb3
ORCID for Pavlos G. Lagoudakis: ORCID iD orcid.org/0000-0002-3557-5299

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Date deposited: 12 Oct 2017 16:31
Last modified: 15 Mar 2024 16:23

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Contributors

Author: Pavlos G. Lagoudakis ORCID iD
Author: Natalia G. Berloff

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