Two-body quantum propagation in arbitrary potentials

[摘要] 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.

[发布机构] Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università Degli Studi di Modena e Reggio Emilia, Via Campi 213/a, Modena, Italy^1;S3, Consiglio Nazionale Delle Ricerche, Istituto Nanoscienze, Via Campi 213/a, Modena, Italy^2

[效力级别] 数学

[关键词] Arbitrary potentials;External potential;Internal structure;Mean field methods;Quantum evolution;Quantum propagation;Semiconductor heterostructure;Wannier-Mott excitons