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Research talks;Mathematical Physics;Numerical Analysis and Scientific Computing
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.
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 ...
82B20 ; 81T80 ; 35Q56
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- 512 p.
ISBN 978-981-02-3742-4
World scientific lecture notes in physics , 0059
Localisation : Ouvrage RdC (ROTH)
chronodynamique # intéraction forte # modélisation numérique # physique quantique # simulation # système physique spécifique # treillis # théorie des champs quantiques # théorie des treillis de jauge
81-02 ; 81T25 ; 81T80 ; 81V05
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- 234 p.
Addison-Wesley series in computer science and information processing
Localisation : Ouvrage RdC (SPAN)
marche aléatoire # principe de Monte-Carlo # problème de transport
65C05 ; 81T80 ; 81V45 ; 82B80
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