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arXiv · 1205.6999

Dynamics of one-dimensional tight-binding models with arbitrary time-dependent external homogeneous fields

W. H. Hu·L. Jin·Z. Song
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Abstract

The exact propagators of two one-dimensional systems with time-dependent external fields are presented by following the path-integral method. It is shown that the Bloch acceleration theorem can be generalized to the impulse-momentum theorem in quantum version. We demonstrate that an evolved Gaussian wave packet always keeps its shape in an arbitrary time-dependent homogeneous driven field. Moreover, that stopping and accelerating of a wave packet can be achieved by the pulsed field in a diabatic way.

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W. H. Hu, L. Jin, Z. Song. 2012-07-08. Dynamics of one-dimensional tight-binding models with arbitrary time-dependent external homogeneous fields. https://doi.org/10.1007/s11128-013-0616-7

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