Diffractive energy spreading and its semiclassical limit

Details Diffractive energy spreading and its semiclassical limit Diffractive energy spreading and its semiclassical limit

2006-05-24

arxiv.org/abs/cond-mat/0605591v2

J. Phys. A: Math. Gen. 39 (2006) 10703-10721

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

19 pages, 11 figs, published version with some improved figures

Scientific paper

10.1088/0305-4470/39/34/008

We consider driven systems where the driving induces jumps in energy space: (1) particles pulsed by a step potential; (2) particles in a box with a moving wall; (3) particles in a ring driven by an electro-motive-force. In all these cases the route towards quantum-classical correspondence is highly non-trivial. Some insight is gained by observing that the dynamics in energy space, where $n$ is the level index, is essentially the same as that of Bloch electrons in a tight binding model, where $n$ is the site index. The mean level spacing is like a constant electric field and the driving induces long range hopping 1/(n-m).

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