Coherent State Path Integral for Bloch Particle
介观与纳米尺度物理
2015-06-24 v1
摘要
We construct a coherent state path integral formalism for the one-dimensional Bloch particle within the single band model. The transition amplitude between two coherent states is a sum of transition amplitudes with different winding numbers on the two-dimensional phase space which has the same topology as that of the cylinder. Appearance of the winding number is due to the periodicity of the quasi-momentum of the Bloch particle. Our formalism is successfully applied to a semiclassical motion of the Bloch particle under a uniform electric field. The wave packet exhibits not only the Bloch oscillation but also a similar breathing to the one for the squeezed state of a harmonic oscillator.
引用
@article{arxiv.cond-mat/0105453,
title = {Coherent State Path Integral for Bloch Particle},
author = {Junya Shibata and Komajiro Niizeki},
journal= {arXiv preprint arXiv:cond-mat/0105453},
year = {2015}
}
备注
10 pages, Revtev4