Two-body quantum propagation in arbitrary potentials

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Grasselli, Federico^1,2 ; Bertoni, Andrea^1 ; Goldoni, Guido^1,2

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

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

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012028/pdf
DOI  :  10.1088/1742-6596/738/1/012028

来源: IOP

【 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.