Abstract: We propose a platform for finding the global minimum of XY Hamiltonian with polariton graphs. We derive an approximate analytic solution to the spinless complex Ginzburg-Landau equation that describes the density and kinetics of a polariton condensate under incoherent pumping. The analytic expression of the wavefunction is used as the building block for constructing the XY Hamiltonian of two-dimensional polariton graphs. We illustrate examples of the quantum simulator for various classical magnetic phases on some simple lattice geometries: linear, triangular, square.
Recording during the thematicmeeting : "New challenges in mathematical modelling and numerical simulation of superfluids" the June 30, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
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Natalia Berloff: Polariton graph simulators cnrs montpellier | |
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| Science & Technology | Upload TimePublished on 20 Jul 2016 |
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