English

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

Quantum Physics 2013-10-25 v2 Quantum Gases

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.

Keywords

Cite

@article{arxiv.1205.6999,
  title  = {Dynamics of one-dimensional tight-binding models with arbitrary time-dependent external homogeneous fields},
  author = {W. H. Hu and L. Jin and Z. Song},
  journal= {arXiv preprint arXiv:1205.6999},
  year   = {2013}
}

Comments

8 pages, 6 figures

R2 v1 2026-06-21T21:12:28.325Z