We have implemented a unitary, numerically exact, Fourier split step method, based on a proper Suzuki-Trotter factorization of the quantum evolution operator, to propagate a two-body complex in arbitrary external potential landscapes taking into account exactly the internal structure. We have simulated spatially indirect Wannier-Mott excitons - optically excited electron-hole pairs with the two charges confined to different layers of a semiconductor heterostructure with prototypical 1D and 2D potentials emphasizing the effects of the internal dynamics and the insufficiency of mean-field methods in this context.
Two-body quantum propagation in arbitrary potentials / Grasselli, Federico; Bertoni, Andrea; Goldoni, Guido. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 738:1(2016), pp. 012028-012032. (Intervento presentato al convegno 5th International Conference on Mathematical Modeling in Physical Sciences, IC-MSquare 2016 tenutosi a grc nel 2016) [10.1088/1742-6596/738/1/012028].
Two-body quantum propagation in arbitrary potentials
GRASSELLI, FEDERICO;BERTONI, Andrea;GOLDONI, Guido
2016
Abstract
We have implemented a unitary, numerically exact, Fourier split step method, based on a proper Suzuki-Trotter factorization of the quantum evolution operator, to propagate a two-body complex in arbitrary external potential landscapes taking into account exactly the internal structure. We have simulated spatially indirect Wannier-Mott excitons - optically excited electron-hole pairs with the two charges confined to different layers of a semiconductor heterostructure with prototypical 1D and 2D potentials emphasizing the effects of the internal dynamics and the insufficiency of mean-field methods in this context.File | Dimensione | Formato | |
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