Diffractive energy spreading and its semiclassical limit

Alexander Stotland, Doron Cohen

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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).

Original languageEnglish
Article number008
Pages (from-to)10703-10721
Number of pages19
JournalJournal of Physics A: Mathematical and General
Issue number34
StatePublished - 25 Aug 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy (all)


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