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Diffractive energy spreading and its semiclassical limit

Alexander Stotland·Doron Cohen
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Abstract

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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Alexander Stotland, Doron Cohen. 2006-08-10. Diffractive energy spreading and its semiclassical limit. https://doi.org/10.1088/0305-4470%2F39%2F34%2F008

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