A theory of generalized Bloch oscillations

Lars Duggen, L. C. Lew Yan Voon, Benny Lassen, Morten Willatzen

    Research output: Contribution to journalJournal articleResearchpeer-review


    Bloch oscillations of electrons are shown to occur for cases when the energy spectrum does not consist of the traditional evenly-spaced ladders and the potential gradient does not result from an external electric field. A theory of such generalized Bloch oscillations is presented and an exact calculation is given to confirm this phenomenon. Our results allow for a greater freedom of design for experimentally observing Bloch oscillations. For strongly coupled oscillator systems displaying Bloch oscillations, it is further demonstrated that reordering of oscillators leads to destruction of Bloch oscillations. We stipulate that the presented theory of generalized Bloch oscillations can be extended to other systems such as acoustics and photonics.
    Original languageEnglish
    JournalJournal of Physics Condensed Matter
    Issue number15
    Pages (from-to)155301
    Publication statusPublished - 2016


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    • Bloch oscillations
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