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Paper The following article is Open access

Two-body quantum propagation in arbitrary potentials

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Published under licence by IOP Publishing Ltd
, , Citation Federico Grasselli et al 2016 J. Phys.: Conf. Ser. 738 012028 DOI 10.1088/1742-6596/738/1/012028

1742-6596/738/1/012028

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.

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10.1088/1742-6596/738/1/012028